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Simplifying 5x + 3(2x + -1) = 4(3x + 5) + -8 Reorder the terms: 5x + 3(-1 + 2x) = 4(3x + 5) + -8 5x + (-1 * 3 + 2x * 3) = 4(3x + 5) + -8 5x + (-3 + 6x) = 4(3x + 5) + -8 Reorder the terms: -3 + 5x + 6x = 4(3x + 5) + -8 Combine like terms: 5x + 6x = 11x -3 + 11x = 4(3x + 5) + -8 Reorder the terms: -3 + 11x = 4(5 + 3x) + -8 -3 + 11x = (5 * 4 + 3x * 4) + -8 -3 + 11x = (20 + 12x) + -8 Reorder the terms: -3 + 11x = 20 + -8 + 12x Combine like terms: 20 + -8 = 12 -3 + 11x = 12 + 12x Solving -3 + 11x = 12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -3 + 11x + -12x = 12 + 12x + -12x Combine like terms: 11x + -12x = -1x -3 + -1x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 + -1x = 12 + 0 -3 + -1x = 12 Add '3' to each side of the equation. -3 + 3 + -1x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 12 + 3 -1x = 12 + 3 Combine like terms: 12 + 3 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15
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