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Simplifying -2(4x + -3) + 4x = 3(2x + 6) Reorder the terms: -2(-3 + 4x) + 4x = 3(2x + 6) (-3 * -2 + 4x * -2) + 4x = 3(2x + 6) (6 + -8x) + 4x = 3(2x + 6) Combine like terms: -8x + 4x = -4x 6 + -4x = 3(2x + 6) Reorder the terms: 6 + -4x = 3(6 + 2x) 6 + -4x = (6 * 3 + 2x * 3) 6 + -4x = (18 + 6x) Solving 6 + -4x = 18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + -4x + -6x = 18 + 6x + -6x Combine like terms: -4x + -6x = -10x 6 + -10x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -10x = 18 + 0 6 + -10x = 18 Add '-6' to each side of the equation. 6 + -6 + -10x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + -10x = 18 + -6 -10x = 18 + -6 Combine like terms: 18 + -6 = 12 -10x = 12 Divide each side by '-10'. x = -1.2 Simplifying x = -1.2
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