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Simplifying 4(x + -8) + 7 = -5(x + -8) + -29 Reorder the terms: 4(-8 + x) + 7 = -5(x + -8) + -29 (-8 * 4 + x * 4) + 7 = -5(x + -8) + -29 (-32 + 4x) + 7 = -5(x + -8) + -29 Reorder the terms: -32 + 7 + 4x = -5(x + -8) + -29 Combine like terms: -32 + 7 = -25 -25 + 4x = -5(x + -8) + -29 Reorder the terms: -25 + 4x = -5(-8 + x) + -29 -25 + 4x = (-8 * -5 + x * -5) + -29 -25 + 4x = (40 + -5x) + -29 Reorder the terms: -25 + 4x = 40 + -29 + -5x Combine like terms: 40 + -29 = 11 -25 + 4x = 11 + -5x Solving -25 + 4x = 11 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -25 + 4x + 5x = 11 + -5x + 5x Combine like terms: 4x + 5x = 9x -25 + 9x = 11 + -5x + 5x Combine like terms: -5x + 5x = 0 -25 + 9x = 11 + 0 -25 + 9x = 11 Add '25' to each side of the equation. -25 + 25 + 9x = 11 + 25 Combine like terms: -25 + 25 = 0 0 + 9x = 11 + 25 9x = 11 + 25 Combine like terms: 11 + 25 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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