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Simplifying 2(2x + -4) = 15 + -3(2x + -4) Reorder the terms: 2(-4 + 2x) = 15 + -3(2x + -4) (-4 * 2 + 2x * 2) = 15 + -3(2x + -4) (-8 + 4x) = 15 + -3(2x + -4) Reorder the terms: -8 + 4x = 15 + -3(-4 + 2x) -8 + 4x = 15 + (-4 * -3 + 2x * -3) -8 + 4x = 15 + (12 + -6x) Combine like terms: 15 + 12 = 27 -8 + 4x = 27 + -6x Solving -8 + 4x = 27 + -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. -8 + 4x + 6x = 27 + -6x + 6x Combine like terms: 4x + 6x = 10x -8 + 10x = 27 + -6x + 6x Combine like terms: -6x + 6x = 0 -8 + 10x = 27 + 0 -8 + 10x = 27 Add '8' to each side of the equation. -8 + 8 + 10x = 27 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = 27 + 8 10x = 27 + 8 Combine like terms: 27 + 8 = 35 10x = 35 Divide each side by '10'. x = 3.5 Simplifying x = 3.5
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