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Simplifying 4x + -1(x + -10) + 3(2x + -4) = 29 Reorder the terms: 4x + -1(-10 + x) + 3(2x + -4) = 29 4x + (-10 * -1 + x * -1) + 3(2x + -4) = 29 4x + (10 + -1x) + 3(2x + -4) = 29 Reorder the terms: 4x + 10 + -1x + 3(-4 + 2x) = 29 4x + 10 + -1x + (-4 * 3 + 2x * 3) = 29 4x + 10 + -1x + (-12 + 6x) = 29 Reorder the terms: 10 + -12 + 4x + -1x + 6x = 29 Combine like terms: 10 + -12 = -2 -2 + 4x + -1x + 6x = 29 Combine like terms: 4x + -1x = 3x -2 + 3x + 6x = 29 Combine like terms: 3x + 6x = 9x -2 + 9x = 29 Solving -2 + 9x = 29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 9x = 29 + 2 Combine like terms: -2 + 2 = 0 0 + 9x = 29 + 2 9x = 29 + 2 Combine like terms: 29 + 2 = 31 9x = 31 Divide each side by '9'. x = 3.444444444 Simplifying x = 3.444444444
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