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Simplifying -5(x + 1) + 3x = 6 + -1(4x + -3) Reorder the terms: -5(1 + x) + 3x = 6 + -1(4x + -3) (1 * -5 + x * -5) + 3x = 6 + -1(4x + -3) (-5 + -5x) + 3x = 6 + -1(4x + -3) Combine like terms: -5x + 3x = -2x -5 + -2x = 6 + -1(4x + -3) Reorder the terms: -5 + -2x = 6 + -1(-3 + 4x) -5 + -2x = 6 + (-3 * -1 + 4x * -1) -5 + -2x = 6 + (3 + -4x) Combine like terms: 6 + 3 = 9 -5 + -2x = 9 + -4x Solving -5 + -2x = 9 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -5 + -2x + 4x = 9 + -4x + 4x Combine like terms: -2x + 4x = 2x -5 + 2x = 9 + -4x + 4x Combine like terms: -4x + 4x = 0 -5 + 2x = 9 + 0 -5 + 2x = 9 Add '5' to each side of the equation. -5 + 5 + 2x = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 9 + 5 2x = 9 + 5 Combine like terms: 9 + 5 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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