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Simplifying -9x + 75 = -22 + -4(x + 12) Reorder the terms: 75 + -9x = -22 + -4(x + 12) Reorder the terms: 75 + -9x = -22 + -4(12 + x) 75 + -9x = -22 + (12 * -4 + x * -4) 75 + -9x = -22 + (-48 + -4x) Combine like terms: -22 + -48 = -70 75 + -9x = -70 + -4x Solving 75 + -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. 75 + -9x + 4x = -70 + -4x + 4x Combine like terms: -9x + 4x = -5x 75 + -5x = -70 + -4x + 4x Combine like terms: -4x + 4x = 0 75 + -5x = -70 + 0 75 + -5x = -70 Add '-75' to each side of the equation. 75 + -75 + -5x = -70 + -75 Combine like terms: 75 + -75 = 0 0 + -5x = -70 + -75 -5x = -70 + -75 Combine like terms: -70 + -75 = -145 -5x = -145 Divide each side by '-5'. x = 29 Simplifying x = 29
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