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Simplifying 2(3x + -4) + 12 = 6(3x + 2) + -10x Reorder the terms: 2(-4 + 3x) + 12 = 6(3x + 2) + -10x (-4 * 2 + 3x * 2) + 12 = 6(3x + 2) + -10x (-8 + 6x) + 12 = 6(3x + 2) + -10x Reorder the terms: -8 + 12 + 6x = 6(3x + 2) + -10x Combine like terms: -8 + 12 = 4 4 + 6x = 6(3x + 2) + -10x Reorder the terms: 4 + 6x = 6(2 + 3x) + -10x 4 + 6x = (2 * 6 + 3x * 6) + -10x 4 + 6x = (12 + 18x) + -10x Combine like terms: 18x + -10x = 8x 4 + 6x = 12 + 8x Solving 4 + 6x = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + 6x + -8x = 12 + 8x + -8x Combine like terms: 6x + -8x = -2x 4 + -2x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + -2x = 12 + 0 4 + -2x = 12 Add '-4' to each side of the equation. 4 + -4 + -2x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 12 + -4 -2x = 12 + -4 Combine like terms: 12 + -4 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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