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Simplifying 5 = 2(x + -4) + 3(x + -2) Reorder the terms: 5 = 2(-4 + x) + 3(x + -2) 5 = (-4 * 2 + x * 2) + 3(x + -2) 5 = (-8 + 2x) + 3(x + -2) Reorder the terms: 5 = -8 + 2x + 3(-2 + x) 5 = -8 + 2x + (-2 * 3 + x * 3) 5 = -8 + 2x + (-6 + 3x) Reorder the terms: 5 = -8 + -6 + 2x + 3x Combine like terms: -8 + -6 = -14 5 = -14 + 2x + 3x Combine like terms: 2x + 3x = 5x 5 = -14 + 5x Solving 5 = -14 + 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. 5 + -5x = -14 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -5x = -14 + 0 5 + -5x = -14 Add '-5' to each side of the equation. 5 + -5 + -5x = -14 + -5 Combine like terms: 5 + -5 = 0 0 + -5x = -14 + -5 -5x = -14 + -5 Combine like terms: -14 + -5 = -19 -5x = -19 Divide each side by '-5'. x = 3.8 Simplifying x = 3.8
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