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Simplifying 7(x + -1) = -3(x + 4) + 29 Reorder the terms: 7(-1 + x) = -3(x + 4) + 29 (-1 * 7 + x * 7) = -3(x + 4) + 29 (-7 + 7x) = -3(x + 4) + 29 Reorder the terms: -7 + 7x = -3(4 + x) + 29 -7 + 7x = (4 * -3 + x * -3) + 29 -7 + 7x = (-12 + -3x) + 29 Reorder the terms: -7 + 7x = -12 + 29 + -3x Combine like terms: -12 + 29 = 17 -7 + 7x = 17 + -3x Solving -7 + 7x = 17 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -7 + 7x + 3x = 17 + -3x + 3x Combine like terms: 7x + 3x = 10x -7 + 10x = 17 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 10x = 17 + 0 -7 + 10x = 17 Add '7' to each side of the equation. -7 + 7 + 10x = 17 + 7 Combine like terms: -7 + 7 = 0 0 + 10x = 17 + 7 10x = 17 + 7 Combine like terms: 17 + 7 = 24 10x = 24 Divide each side by '10'. x = 2.4 Simplifying x = 2.4
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