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Simplifying 4(x + 12) = 2(x + -11) Reorder the terms: 4(12 + x) = 2(x + -11) (12 * 4 + x * 4) = 2(x + -11) (48 + 4x) = 2(x + -11) Reorder the terms: 48 + 4x = 2(-11 + x) 48 + 4x = (-11 * 2 + x * 2) 48 + 4x = (-22 + 2x) Solving 48 + 4x = -22 + 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. 48 + 4x + -2x = -22 + 2x + -2x Combine like terms: 4x + -2x = 2x 48 + 2x = -22 + 2x + -2x Combine like terms: 2x + -2x = 0 48 + 2x = -22 + 0 48 + 2x = -22 Add '-48' to each side of the equation. 48 + -48 + 2x = -22 + -48 Combine like terms: 48 + -48 = 0 0 + 2x = -22 + -48 2x = -22 + -48 Combine like terms: -22 + -48 = -70 2x = -70 Divide each side by '2'. x = -35 Simplifying x = -35
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