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Simplifying 4 + -3x + 2 = 2(x + -12) Reorder the terms: 4 + 2 + -3x = 2(x + -12) Combine like terms: 4 + 2 = 6 6 + -3x = 2(x + -12) Reorder the terms: 6 + -3x = 2(-12 + x) 6 + -3x = (-12 * 2 + x * 2) 6 + -3x = (-24 + 2x) Solving 6 + -3x = -24 + 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. 6 + -3x + -2x = -24 + 2x + -2x Combine like terms: -3x + -2x = -5x 6 + -5x = -24 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -5x = -24 + 0 6 + -5x = -24 Add '-6' to each side of the equation. 6 + -6 + -5x = -24 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = -24 + -6 -5x = -24 + -6 Combine like terms: -24 + -6 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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