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Simplifying 4x + 8 + 7 = -5x + 8 + -29 Reorder the terms: 8 + 7 + 4x = -5x + 8 + -29 Combine like terms: 8 + 7 = 15 15 + 4x = -5x + 8 + -29 Reorder the terms: 15 + 4x = 8 + -29 + -5x Combine like terms: 8 + -29 = -21 15 + 4x = -21 + -5x Solving 15 + 4x = -21 + -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. 15 + 4x + 5x = -21 + -5x + 5x Combine like terms: 4x + 5x = 9x 15 + 9x = -21 + -5x + 5x Combine like terms: -5x + 5x = 0 15 + 9x = -21 + 0 15 + 9x = -21 Add '-15' to each side of the equation. 15 + -15 + 9x = -21 + -15 Combine like terms: 15 + -15 = 0 0 + 9x = -21 + -15 9x = -21 + -15 Combine like terms: -21 + -15 = -36 9x = -36 Divide each side by '9'. x = -4 Simplifying x = -4
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