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Simplifying -9x + 15 = -22 + -4(x + 12) Reorder the terms: 15 + -9x = -22 + -4(x + 12) Reorder the terms: 15 + -9x = -22 + -4(12 + x) 15 + -9x = -22 + (12 * -4 + x * -4) 15 + -9x = -22 + (-48 + -4x) Combine like terms: -22 + -48 = -70 15 + -9x = -70 + -4x Solving 15 + -9x = -70 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 15 + -9x + 4x = -70 + -4x + 4x Combine like terms: -9x + 4x = -5x 15 + -5x = -70 + -4x + 4x Combine like terms: -4x + 4x = 0 15 + -5x = -70 + 0 15 + -5x = -70 Add '-15' to each side of the equation. 15 + -15 + -5x = -70 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = -70 + -15 -5x = -70 + -15 Combine like terms: -70 + -15 = -85 -5x = -85 Divide each side by '-5'. x = 17 Simplifying x = 17
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