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Simplifying -2(x + -4) = 5(x + -2) + 3 Reorder the terms: -2(-4 + x) = 5(x + -2) + 3 (-4 * -2 + x * -2) = 5(x + -2) + 3 (8 + -2x) = 5(x + -2) + 3 Reorder the terms: 8 + -2x = 5(-2 + x) + 3 8 + -2x = (-2 * 5 + x * 5) + 3 8 + -2x = (-10 + 5x) + 3 Reorder the terms: 8 + -2x = -10 + 3 + 5x Combine like terms: -10 + 3 = -7 8 + -2x = -7 + 5x Solving 8 + -2x = -7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + -2x + -5x = -7 + 5x + -5x Combine like terms: -2x + -5x = -7x 8 + -7x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -7x = -7 + 0 8 + -7x = -7 Add '-8' to each side of the equation. 8 + -8 + -7x = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = -7 + -8 -7x = -7 + -8 Combine like terms: -7 + -8 = -15 -7x = -15 Divide each side by '-7'. x = 2.142857143 Simplifying x = 2.142857143
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