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Simplifying -2(4x + -3) + 4x = 6(x + 2) Reorder the terms: -2(-3 + 4x) + 4x = 6(x + 2) (-3 * -2 + 4x * -2) + 4x = 6(x + 2) (6 + -8x) + 4x = 6(x + 2) Combine like terms: -8x + 4x = -4x 6 + -4x = 6(x + 2) Reorder the terms: 6 + -4x = 6(2 + x) 6 + -4x = (2 * 6 + x * 6) 6 + -4x = (12 + 6x) Solving 6 + -4x = 12 + 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 = 12 + 6x + -6x Combine like terms: -4x + -6x = -10x 6 + -10x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -10x = 12 + 0 6 + -10x = 12 Add '-6' to each side of the equation. 6 + -6 + -10x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -10x = 12 + -6 -10x = 12 + -6 Combine like terms: 12 + -6 = 6 -10x = 6 Divide each side by '-10'. x = -0.6 Simplifying x = -0.6
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