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Simplifying -5(2x + -23) = 2(x + -2) + -3 Reorder the terms: -5(-23 + 2x) = 2(x + -2) + -3 (-23 * -5 + 2x * -5) = 2(x + -2) + -3 (115 + -10x) = 2(x + -2) + -3 Reorder the terms: 115 + -10x = 2(-2 + x) + -3 115 + -10x = (-2 * 2 + x * 2) + -3 115 + -10x = (-4 + 2x) + -3 Reorder the terms: 115 + -10x = -4 + -3 + 2x Combine like terms: -4 + -3 = -7 115 + -10x = -7 + 2x Solving 115 + -10x = -7 + 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. 115 + -10x + -2x = -7 + 2x + -2x Combine like terms: -10x + -2x = -12x 115 + -12x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 115 + -12x = -7 + 0 115 + -12x = -7 Add '-115' to each side of the equation. 115 + -115 + -12x = -7 + -115 Combine like terms: 115 + -115 = 0 0 + -12x = -7 + -115 -12x = -7 + -115 Combine like terms: -7 + -115 = -122 -12x = -122 Divide each side by '-12'. x = 10.16666667 Simplifying x = 10.16666667
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