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Simplifying 3(4x + -2) + 7 = -2(x + -4) Reorder the terms: 3(-2 + 4x) + 7 = -2(x + -4) (-2 * 3 + 4x * 3) + 7 = -2(x + -4) (-6 + 12x) + 7 = -2(x + -4) Reorder the terms: -6 + 7 + 12x = -2(x + -4) Combine like terms: -6 + 7 = 1 1 + 12x = -2(x + -4) Reorder the terms: 1 + 12x = -2(-4 + x) 1 + 12x = (-4 * -2 + x * -2) 1 + 12x = (8 + -2x) Solving 1 + 12x = 8 + -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. 1 + 12x + 2x = 8 + -2x + 2x Combine like terms: 12x + 2x = 14x 1 + 14x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + 14x = 8 + 0 1 + 14x = 8 Add '-1' to each side of the equation. 1 + -1 + 14x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 14x = 8 + -1 14x = 8 + -1 Combine like terms: 8 + -1 = 7 14x = 7 Divide each side by '14'. x = 0.5 Simplifying x = 0.5
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