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Simplifying 4(x + -2) = 8(x + -3)(-12) Reorder the terms: 4(-2 + x) = 8(x + -3)(-12) (-2 * 4 + x * 4) = 8(x + -3)(-12) (-8 + 4x) = 8(x + -3)(-12) Reorder the terms: -8 + 4x = 8(-3 + x)(-12) Reorder the terms for easier multiplication: -8 + 4x = 8 * -12(-3 + x) Multiply 8 * -12 -8 + 4x = -96(-3 + x) -8 + 4x = (-3 * -96 + x * -96) -8 + 4x = (288 + -96x) Solving -8 + 4x = 288 + -96x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '96x' to each side of the equation. -8 + 4x + 96x = 288 + -96x + 96x Combine like terms: 4x + 96x = 100x -8 + 100x = 288 + -96x + 96x Combine like terms: -96x + 96x = 0 -8 + 100x = 288 + 0 -8 + 100x = 288 Add '8' to each side of the equation. -8 + 8 + 100x = 288 + 8 Combine like terms: -8 + 8 = 0 0 + 100x = 288 + 8 100x = 288 + 8 Combine like terms: 288 + 8 = 296 100x = 296 Divide each side by '100'. x = 2.96 Simplifying x = 2.96
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