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Simplifying -5(3x + -27) = 2(x + -20) + -29 Reorder the terms: -5(-27 + 3x) = 2(x + -20) + -29 (-27 * -5 + 3x * -5) = 2(x + -20) + -29 (135 + -15x) = 2(x + -20) + -29 Reorder the terms: 135 + -15x = 2(-20 + x) + -29 135 + -15x = (-20 * 2 + x * 2) + -29 135 + -15x = (-40 + 2x) + -29 Reorder the terms: 135 + -15x = -40 + -29 + 2x Combine like terms: -40 + -29 = -69 135 + -15x = -69 + 2x Solving 135 + -15x = -69 + 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. 135 + -15x + -2x = -69 + 2x + -2x Combine like terms: -15x + -2x = -17x 135 + -17x = -69 + 2x + -2x Combine like terms: 2x + -2x = 0 135 + -17x = -69 + 0 135 + -17x = -69 Add '-135' to each side of the equation. 135 + -135 + -17x = -69 + -135 Combine like terms: 135 + -135 = 0 0 + -17x = -69 + -135 -17x = -69 + -135 Combine like terms: -69 + -135 = -204 -17x = -204 Divide each side by '-17'. x = 12 Simplifying x = 12
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