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Simplifying -5(2x + -9) = 2(x + -2) + -23 Reorder the terms: -5(-9 + 2x) = 2(x + -2) + -23 (-9 * -5 + 2x * -5) = 2(x + -2) + -23 (45 + -10x) = 2(x + -2) + -23 Reorder the terms: 45 + -10x = 2(-2 + x) + -23 45 + -10x = (-2 * 2 + x * 2) + -23 45 + -10x = (-4 + 2x) + -23 Reorder the terms: 45 + -10x = -4 + -23 + 2x Combine like terms: -4 + -23 = -27 45 + -10x = -27 + 2x Solving 45 + -10x = -27 + 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. 45 + -10x + -2x = -27 + 2x + -2x Combine like terms: -10x + -2x = -12x 45 + -12x = -27 + 2x + -2x Combine like terms: 2x + -2x = 0 45 + -12x = -27 + 0 45 + -12x = -27 Add '-45' to each side of the equation. 45 + -45 + -12x = -27 + -45 Combine like terms: 45 + -45 = 0 0 + -12x = -27 + -45 -12x = -27 + -45 Combine like terms: -27 + -45 = -72 -12x = -72 Divide each side by '-12'. x = 6 Simplifying x = 6
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