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Simplifying -4(x + -3) = 8(-2 + 3x) Reorder the terms: -4(-3 + x) = 8(-2 + 3x) (-3 * -4 + x * -4) = 8(-2 + 3x) (12 + -4x) = 8(-2 + 3x) 12 + -4x = (-2 * 8 + 3x * 8) 12 + -4x = (-16 + 24x) Solving 12 + -4x = -16 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 12 + -4x + -24x = -16 + 24x + -24x Combine like terms: -4x + -24x = -28x 12 + -28x = -16 + 24x + -24x Combine like terms: 24x + -24x = 0 12 + -28x = -16 + 0 12 + -28x = -16 Add '-12' to each side of the equation. 12 + -12 + -28x = -16 + -12 Combine like terms: 12 + -12 = 0 0 + -28x = -16 + -12 -28x = -16 + -12 Combine like terms: -16 + -12 = -28 -28x = -28 Divide each side by '-28'. x = 1 Simplifying x = 1
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