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Simplifying 4x + -3(x + -4) = 5x + 2 + 5(-1x + 3) Reorder the terms: 4x + -3(-4 + x) = 5x + 2 + 5(-1x + 3) 4x + (-4 * -3 + x * -3) = 5x + 2 + 5(-1x + 3) 4x + (12 + -3x) = 5x + 2 + 5(-1x + 3) Reorder the terms: 12 + 4x + -3x = 5x + 2 + 5(-1x + 3) Combine like terms: 4x + -3x = 1x 12 + 1x = 5x + 2 + 5(-1x + 3) Reorder the terms: 12 + 1x = 5x + 2 + 5(3 + -1x) 12 + 1x = 5x + 2 + (3 * 5 + -1x * 5) 12 + 1x = 5x + 2 + (15 + -5x) Reorder the terms: 12 + 1x = 2 + 15 + 5x + -5x Combine like terms: 2 + 15 = 17 12 + 1x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 1x = 17 + 0 12 + 1x = 17 Solving 12 + 1x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 1x = 17 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 17 + -12 1x = 17 + -12 Combine like terms: 17 + -12 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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