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Simplifying 2(x + -4) + -5(x + -3) = 2(x + 5) Reorder the terms: 2(-4 + x) + -5(x + -3) = 2(x + 5) (-4 * 2 + x * 2) + -5(x + -3) = 2(x + 5) (-8 + 2x) + -5(x + -3) = 2(x + 5) Reorder the terms: -8 + 2x + -5(-3 + x) = 2(x + 5) -8 + 2x + (-3 * -5 + x * -5) = 2(x + 5) -8 + 2x + (15 + -5x) = 2(x + 5) Reorder the terms: -8 + 15 + 2x + -5x = 2(x + 5) Combine like terms: -8 + 15 = 7 7 + 2x + -5x = 2(x + 5) Combine like terms: 2x + -5x = -3x 7 + -3x = 2(x + 5) Reorder the terms: 7 + -3x = 2(5 + x) 7 + -3x = (5 * 2 + x * 2) 7 + -3x = (10 + 2x) Solving 7 + -3x = 10 + 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. 7 + -3x + -2x = 10 + 2x + -2x Combine like terms: -3x + -2x = -5x 7 + -5x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -5x = 10 + 0 7 + -5x = 10 Add '-7' to each side of the equation. 7 + -7 + -5x = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 10 + -7 -5x = 10 + -7 Combine like terms: 10 + -7 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6
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