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Simplifying -29 + 5x = 8(x + -6) + -5 Reorder the terms: -29 + 5x = 8(-6 + x) + -5 -29 + 5x = (-6 * 8 + x * 8) + -5 -29 + 5x = (-48 + 8x) + -5 Reorder the terms: -29 + 5x = -48 + -5 + 8x Combine like terms: -48 + -5 = -53 -29 + 5x = -53 + 8x Solving -29 + 5x = -53 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -29 + 5x + -8x = -53 + 8x + -8x Combine like terms: 5x + -8x = -3x -29 + -3x = -53 + 8x + -8x Combine like terms: 8x + -8x = 0 -29 + -3x = -53 + 0 -29 + -3x = -53 Add '29' to each side of the equation. -29 + 29 + -3x = -53 + 29 Combine like terms: -29 + 29 = 0 0 + -3x = -53 + 29 -3x = -53 + 29 Combine like terms: -53 + 29 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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