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Simplifying 2(5x + -8) + 12 = -2(9x + -12) Reorder the terms: 2(-8 + 5x) + 12 = -2(9x + -12) (-8 * 2 + 5x * 2) + 12 = -2(9x + -12) (-16 + 10x) + 12 = -2(9x + -12) Reorder the terms: -16 + 12 + 10x = -2(9x + -12) Combine like terms: -16 + 12 = -4 -4 + 10x = -2(9x + -12) Reorder the terms: -4 + 10x = -2(-12 + 9x) -4 + 10x = (-12 * -2 + 9x * -2) -4 + 10x = (24 + -18x) Solving -4 + 10x = 24 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -4 + 10x + 18x = 24 + -18x + 18x Combine like terms: 10x + 18x = 28x -4 + 28x = 24 + -18x + 18x Combine like terms: -18x + 18x = 0 -4 + 28x = 24 + 0 -4 + 28x = 24 Add '4' to each side of the equation. -4 + 4 + 28x = 24 + 4 Combine like terms: -4 + 4 = 0 0 + 28x = 24 + 4 28x = 24 + 4 Combine like terms: 24 + 4 = 28 28x = 28 Divide each side by '28'. x = 1 Simplifying x = 1
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