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Simplifying 4(2x + -1) + 2(4 + -1x) + 5x = 4(3 + 2x) + -3 Reorder the terms: 4(-1 + 2x) + 2(4 + -1x) + 5x = 4(3 + 2x) + -3 (-1 * 4 + 2x * 4) + 2(4 + -1x) + 5x = 4(3 + 2x) + -3 (-4 + 8x) + 2(4 + -1x) + 5x = 4(3 + 2x) + -3 -4 + 8x + (4 * 2 + -1x * 2) + 5x = 4(3 + 2x) + -3 -4 + 8x + (8 + -2x) + 5x = 4(3 + 2x) + -3 Reorder the terms: -4 + 8 + 8x + -2x + 5x = 4(3 + 2x) + -3 Combine like terms: -4 + 8 = 4 4 + 8x + -2x + 5x = 4(3 + 2x) + -3 Combine like terms: 8x + -2x = 6x 4 + 6x + 5x = 4(3 + 2x) + -3 Combine like terms: 6x + 5x = 11x 4 + 11x = 4(3 + 2x) + -3 4 + 11x = (3 * 4 + 2x * 4) + -3 4 + 11x = (12 + 8x) + -3 Reorder the terms: 4 + 11x = 12 + -3 + 8x Combine like terms: 12 + -3 = 9 4 + 11x = 9 + 8x Solving 4 + 11x = 9 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + 11x + -8x = 9 + 8x + -8x Combine like terms: 11x + -8x = 3x 4 + 3x = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + 3x = 9 + 0 4 + 3x = 9 Add '-4' to each side of the equation. 4 + -4 + 3x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 9 + -4 3x = 9 + -4 Combine like terms: 9 + -4 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667
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