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Simplifying -4(3x + -3) + 7x = 5(x + 4) Reorder the terms: -4(-3 + 3x) + 7x = 5(x + 4) (-3 * -4 + 3x * -4) + 7x = 5(x + 4) (12 + -12x) + 7x = 5(x + 4) Combine like terms: -12x + 7x = -5x 12 + -5x = 5(x + 4) Reorder the terms: 12 + -5x = 5(4 + x) 12 + -5x = (4 * 5 + x * 5) 12 + -5x = (20 + 5x) Solving 12 + -5x = 20 + 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. 12 + -5x + -5x = 20 + 5x + -5x Combine like terms: -5x + -5x = -10x 12 + -10x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -10x = 20 + 0 12 + -10x = 20 Add '-12' to each side of the equation. 12 + -12 + -10x = 20 + -12 Combine like terms: 12 + -12 = 0 0 + -10x = 20 + -12 -10x = 20 + -12 Combine like terms: 20 + -12 = 8 -10x = 8 Divide each side by '-10'. x = -0.8 Simplifying x = -0.8
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