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Simplifying 4(x + -3) = 12 + 2(x + -4) Reorder the terms: 4(-3 + x) = 12 + 2(x + -4) (-3 * 4 + x * 4) = 12 + 2(x + -4) (-12 + 4x) = 12 + 2(x + -4) Reorder the terms: -12 + 4x = 12 + 2(-4 + x) -12 + 4x = 12 + (-4 * 2 + x * 2) -12 + 4x = 12 + (-8 + 2x) Combine like terms: 12 + -8 = 4 -12 + 4x = 4 + 2x Solving -12 + 4x = 4 + 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 = 4 + 2x + -2x Combine like terms: 4x + -2x = 2x -12 + 2x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 2x = 4 + 0 -12 + 2x = 4 Add '12' to each side of the equation. -12 + 12 + 2x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 4 + 12 2x = 4 + 12 Combine like terms: 4 + 12 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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