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Simplifying -4(3x + -1) + 7x = 5(x + 2) Reorder the terms: -4(-1 + 3x) + 7x = 5(x + 2) (-1 * -4 + 3x * -4) + 7x = 5(x + 2) (4 + -12x) + 7x = 5(x + 2) Combine like terms: -12x + 7x = -5x 4 + -5x = 5(x + 2) Reorder the terms: 4 + -5x = 5(2 + x) 4 + -5x = (2 * 5 + x * 5) 4 + -5x = (10 + 5x) Solving 4 + -5x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4 + -5x + -5x = 10 + 5x + -5x Combine like terms: -5x + -5x = -10x 4 + -10x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -10x = 10 + 0 4 + -10x = 10 Add '-4' to each side of the equation. 4 + -4 + -10x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -10x = 10 + -4 -10x = 10 + -4 Combine like terms: 10 + -4 = 6 -10x = 6 Divide each side by '-10'. x = -0.6 Simplifying x = -0.6
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