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Simplifying 4(x + -3) = 8 + -2(x + 4) Reorder the terms: 4(-3 + x) = 8 + -2(x + 4) (-3 * 4 + x * 4) = 8 + -2(x + 4) (-12 + 4x) = 8 + -2(x + 4) Reorder the terms: -12 + 4x = 8 + -2(4 + x) -12 + 4x = 8 + (4 * -2 + x * -2) -12 + 4x = 8 + (-8 + -2x) Combine like terms: 8 + -8 = 0 -12 + 4x = 0 + -2x -12 + 4x = -2x Solving -12 + 4x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -12 + 4x + 2x = -2x + 2x Combine like terms: 4x + 2x = 6x -12 + 6x = -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 6x = 0 Add '12' to each side of the equation. -12 + 12 + 6x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 0 + 12 6x = 0 + 12 Combine like terms: 0 + 12 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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