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Simplifying 8(2x + -2) = -3(4x + 10) Reorder the terms: 8(-2 + 2x) = -3(4x + 10) (-2 * 8 + 2x * 8) = -3(4x + 10) (-16 + 16x) = -3(4x + 10) Reorder the terms: -16 + 16x = -3(10 + 4x) -16 + 16x = (10 * -3 + 4x * -3) -16 + 16x = (-30 + -12x) Solving -16 + 16x = -30 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -16 + 16x + 12x = -30 + -12x + 12x Combine like terms: 16x + 12x = 28x -16 + 28x = -30 + -12x + 12x Combine like terms: -12x + 12x = 0 -16 + 28x = -30 + 0 -16 + 28x = -30 Add '16' to each side of the equation. -16 + 16 + 28x = -30 + 16 Combine like terms: -16 + 16 = 0 0 + 28x = -30 + 16 28x = -30 + 16 Combine like terms: -30 + 16 = -14 28x = -14 Divide each side by '28'. x = -0.5 Simplifying x = -0.5
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