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Simplifying -9x + 15 = -22 + -4(x + 13) Reorder the terms: 15 + -9x = -22 + -4(x + 13) Reorder the terms: 15 + -9x = -22 + -4(13 + x) 15 + -9x = -22 + (13 * -4 + x * -4) 15 + -9x = -22 + (-52 + -4x) Combine like terms: -22 + -52 = -74 15 + -9x = -74 + -4x Solving 15 + -9x = -74 + -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 = -74 + -4x + 4x Combine like terms: -9x + 4x = -5x 15 + -5x = -74 + -4x + 4x Combine like terms: -4x + 4x = 0 15 + -5x = -74 + 0 15 + -5x = -74 Add '-15' to each side of the equation. 15 + -15 + -5x = -74 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = -74 + -15 -5x = -74 + -15 Combine like terms: -74 + -15 = -89 -5x = -89 Divide each side by '-5'. x = 17.8 Simplifying x = 17.8
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