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Simplifying 7(2x + -5) + -1(4x + -11) = 9(x + -6) + 29 Reorder the terms: 7(-5 + 2x) + -1(4x + -11) = 9(x + -6) + 29 (-5 * 7 + 2x * 7) + -1(4x + -11) = 9(x + -6) + 29 (-35 + 14x) + -1(4x + -11) = 9(x + -6) + 29 Reorder the terms: -35 + 14x + -1(-11 + 4x) = 9(x + -6) + 29 -35 + 14x + (-11 * -1 + 4x * -1) = 9(x + -6) + 29 -35 + 14x + (11 + -4x) = 9(x + -6) + 29 Reorder the terms: -35 + 11 + 14x + -4x = 9(x + -6) + 29 Combine like terms: -35 + 11 = -24 -24 + 14x + -4x = 9(x + -6) + 29 Combine like terms: 14x + -4x = 10x -24 + 10x = 9(x + -6) + 29 Reorder the terms: -24 + 10x = 9(-6 + x) + 29 -24 + 10x = (-6 * 9 + x * 9) + 29 -24 + 10x = (-54 + 9x) + 29 Reorder the terms: -24 + 10x = -54 + 29 + 9x Combine like terms: -54 + 29 = -25 -24 + 10x = -25 + 9x Solving -24 + 10x = -25 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -24 + 10x + -9x = -25 + 9x + -9x Combine like terms: 10x + -9x = 1x -24 + 1x = -25 + 9x + -9x Combine like terms: 9x + -9x = 0 -24 + 1x = -25 + 0 -24 + 1x = -25 Add '24' to each side of the equation. -24 + 24 + 1x = -25 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = -25 + 24 1x = -25 + 24 Combine like terms: -25 + 24 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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