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Simplifying 2(5x + -4) + -5(x + -3) = 2x + -2(4 + -2x) Reorder the terms: 2(-4 + 5x) + -5(x + -3) = 2x + -2(4 + -2x) (-4 * 2 + 5x * 2) + -5(x + -3) = 2x + -2(4 + -2x) (-8 + 10x) + -5(x + -3) = 2x + -2(4 + -2x) Reorder the terms: -8 + 10x + -5(-3 + x) = 2x + -2(4 + -2x) -8 + 10x + (-3 * -5 + x * -5) = 2x + -2(4 + -2x) -8 + 10x + (15 + -5x) = 2x + -2(4 + -2x) Reorder the terms: -8 + 15 + 10x + -5x = 2x + -2(4 + -2x) Combine like terms: -8 + 15 = 7 7 + 10x + -5x = 2x + -2(4 + -2x) Combine like terms: 10x + -5x = 5x 7 + 5x = 2x + -2(4 + -2x) 7 + 5x = 2x + (4 * -2 + -2x * -2) 7 + 5x = 2x + (-8 + 4x) Reorder the terms: 7 + 5x = -8 + 2x + 4x Combine like terms: 2x + 4x = 6x 7 + 5x = -8 + 6x Solving 7 + 5x = -8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7 + 5x + -6x = -8 + 6x + -6x Combine like terms: 5x + -6x = -1x 7 + -1x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -1x = -8 + 0 7 + -1x = -8 Add '-7' to each side of the equation. 7 + -7 + -1x = -8 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = -8 + -7 -1x = -8 + -7 Combine like terms: -8 + -7 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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