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Simplifying 3(x + 4) = -2(x + -7) + -15 Reorder the terms: 3(4 + x) = -2(x + -7) + -15 (4 * 3 + x * 3) = -2(x + -7) + -15 (12 + 3x) = -2(x + -7) + -15 Reorder the terms: 12 + 3x = -2(-7 + x) + -15 12 + 3x = (-7 * -2 + x * -2) + -15 12 + 3x = (14 + -2x) + -15 Reorder the terms: 12 + 3x = 14 + -15 + -2x Combine like terms: 14 + -15 = -1 12 + 3x = -1 + -2x Solving 12 + 3x = -1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 12 + 3x + 2x = -1 + -2x + 2x Combine like terms: 3x + 2x = 5x 12 + 5x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 5x = -1 + 0 12 + 5x = -1 Add '-12' to each side of the equation. 12 + -12 + 5x = -1 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = -1 + -12 5x = -1 + -12 Combine like terms: -1 + -12 = -13 5x = -13 Divide each side by '5'. x = -2.6 Simplifying x = -2.6
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