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Simplifying 4(x + 3) = -2(x + -6) + 12x + 36 Reorder the terms: 4(3 + x) = -2(x + -6) + 12x + 36 (3 * 4 + x * 4) = -2(x + -6) + 12x + 36 (12 + 4x) = -2(x + -6) + 12x + 36 Reorder the terms: 12 + 4x = -2(-6 + x) + 12x + 36 12 + 4x = (-6 * -2 + x * -2) + 12x + 36 12 + 4x = (12 + -2x) + 12x + 36 Reorder the terms: 12 + 4x = 12 + 36 + -2x + 12x Combine like terms: 12 + 36 = 48 12 + 4x = 48 + -2x + 12x Combine like terms: -2x + 12x = 10x 12 + 4x = 48 + 10x Solving 12 + 4x = 48 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + 4x + -10x = 48 + 10x + -10x Combine like terms: 4x + -10x = -6x 12 + -6x = 48 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -6x = 48 + 0 12 + -6x = 48 Add '-12' to each side of the equation. 12 + -12 + -6x = 48 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = 48 + -12 -6x = 48 + -12 Combine like terms: 48 + -12 = 36 -6x = 36 Divide each side by '-6'. x = -6 Simplifying x = -6
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