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Simplifying 4(x + 2) + -8x + -5 = -3x + -1(2x + -4) + 5 Reorder the terms: 4(2 + x) + -8x + -5 = -3x + -1(2x + -4) + 5 (2 * 4 + x * 4) + -8x + -5 = -3x + -1(2x + -4) + 5 (8 + 4x) + -8x + -5 = -3x + -1(2x + -4) + 5 Reorder the terms: 8 + -5 + 4x + -8x = -3x + -1(2x + -4) + 5 Combine like terms: 8 + -5 = 3 3 + 4x + -8x = -3x + -1(2x + -4) + 5 Combine like terms: 4x + -8x = -4x 3 + -4x = -3x + -1(2x + -4) + 5 Reorder the terms: 3 + -4x = -3x + -1(-4 + 2x) + 5 3 + -4x = -3x + (-4 * -1 + 2x * -1) + 5 3 + -4x = -3x + (4 + -2x) + 5 Reorder the terms: 3 + -4x = 4 + 5 + -3x + -2x Combine like terms: 4 + 5 = 9 3 + -4x = 9 + -3x + -2x Combine like terms: -3x + -2x = -5x 3 + -4x = 9 + -5x Solving 3 + -4x = 9 + -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. 3 + -4x + 5x = 9 + -5x + 5x Combine like terms: -4x + 5x = 1x 3 + 1x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 3 + 1x = 9 + 0 3 + 1x = 9 Add '-3' to each side of the equation. 3 + -3 + 1x = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 9 + -3 1x = 9 + -3 Combine like terms: 9 + -3 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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