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Simplifying 5x + -1(29 + -1(4x + -3) + -1(6 + -11)) = 29 + -1(4x + -1(3x + 2)) Reorder the terms: 5x + -1(29 + -1(-3 + 4x) + -1(6 + -11)) = 29 + -1(4x + -1(3x + 2)) 5x + -1(29 + (-3 * -1 + 4x * -1) + -1(6 + -11)) = 29 + -1(4x + -1(3x + 2)) 5x + -1(29 + (3 + -4x) + -1(6 + -11)) = 29 + -1(4x + -1(3x + 2)) Combine like terms: 6 + -11 = -5 5x + -1(29 + 3 + -4x + -1(-5)) = 29 + -1(4x + -1(3x + 2)) Multiply -1 * -5 5x + -1(29 + 3 + -4x + 5) = 29 + -1(4x + -1(3x + 2)) Reorder the terms: 5x + -1(29 + 3 + 5 + -4x) = 29 + -1(4x + -1(3x + 2)) Combine like terms: 29 + 3 = 32 5x + -1(32 + 5 + -4x) = 29 + -1(4x + -1(3x + 2)) Combine like terms: 32 + 5 = 37 5x + -1(37 + -4x) = 29 + -1(4x + -1(3x + 2)) 5x + (37 * -1 + -4x * -1) = 29 + -1(4x + -1(3x + 2)) 5x + (-37 + 4x) = 29 + -1(4x + -1(3x + 2)) Reorder the terms: -37 + 5x + 4x = 29 + -1(4x + -1(3x + 2)) Combine like terms: 5x + 4x = 9x -37 + 9x = 29 + -1(4x + -1(3x + 2)) Reorder the terms: -37 + 9x = 29 + -1(4x + -1(2 + 3x)) -37 + 9x = 29 + -1(4x + (2 * -1 + 3x * -1)) -37 + 9x = 29 + -1(4x + (-2 + -3x)) Reorder the terms: -37 + 9x = 29 + -1(-2 + 4x + -3x) Combine like terms: 4x + -3x = 1x -37 + 9x = 29 + -1(-2 + 1x) -37 + 9x = 29 + (-2 * -1 + 1x * -1) -37 + 9x = 29 + (2 + -1x) Combine like terms: 29 + 2 = 31 -37 + 9x = 31 + -1x Solving -37 + 9x = 31 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -37 + 9x + x = 31 + -1x + x Combine like terms: 9x + x = 10x -37 + 10x = 31 + -1x + x Combine like terms: -1x + x = 0 -37 + 10x = 31 + 0 -37 + 10x = 31 Add '37' to each side of the equation. -37 + 37 + 10x = 31 + 37 Combine like terms: -37 + 37 = 0 0 + 10x = 31 + 37 10x = 31 + 37 Combine like terms: 31 + 37 = 68 10x = 68 Divide each side by '10'. x = 6.8 Simplifying x = 6.8
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