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Simplifying 5(x + 3) + -4(x + -4) = 8 + 2(3x + -1) Reorder the terms: 5(3 + x) + -4(x + -4) = 8 + 2(3x + -1) (3 * 5 + x * 5) + -4(x + -4) = 8 + 2(3x + -1) (15 + 5x) + -4(x + -4) = 8 + 2(3x + -1) Reorder the terms: 15 + 5x + -4(-4 + x) = 8 + 2(3x + -1) 15 + 5x + (-4 * -4 + x * -4) = 8 + 2(3x + -1) 15 + 5x + (16 + -4x) = 8 + 2(3x + -1) Reorder the terms: 15 + 16 + 5x + -4x = 8 + 2(3x + -1) Combine like terms: 15 + 16 = 31 31 + 5x + -4x = 8 + 2(3x + -1) Combine like terms: 5x + -4x = 1x 31 + 1x = 8 + 2(3x + -1) Reorder the terms: 31 + 1x = 8 + 2(-1 + 3x) 31 + 1x = 8 + (-1 * 2 + 3x * 2) 31 + 1x = 8 + (-2 + 6x) Combine like terms: 8 + -2 = 6 31 + 1x = 6 + 6x Solving 31 + 1x = 6 + 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. 31 + 1x + -6x = 6 + 6x + -6x Combine like terms: 1x + -6x = -5x 31 + -5x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 31 + -5x = 6 + 0 31 + -5x = 6 Add '-31' to each side of the equation. 31 + -31 + -5x = 6 + -31 Combine like terms: 31 + -31 = 0 0 + -5x = 6 + -31 -5x = 6 + -31 Combine like terms: 6 + -31 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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