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Simplifying 3x + 2(4x + -1) = 15x + 8(2x + -1) Reorder the terms: 3x + 2(-1 + 4x) = 15x + 8(2x + -1) 3x + (-1 * 2 + 4x * 2) = 15x + 8(2x + -1) 3x + (-2 + 8x) = 15x + 8(2x + -1) Reorder the terms: -2 + 3x + 8x = 15x + 8(2x + -1) Combine like terms: 3x + 8x = 11x -2 + 11x = 15x + 8(2x + -1) Reorder the terms: -2 + 11x = 15x + 8(-1 + 2x) -2 + 11x = 15x + (-1 * 8 + 2x * 8) -2 + 11x = 15x + (-8 + 16x) Reorder the terms: -2 + 11x = -8 + 15x + 16x Combine like terms: 15x + 16x = 31x -2 + 11x = -8 + 31x Solving -2 + 11x = -8 + 31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31x' to each side of the equation. -2 + 11x + -31x = -8 + 31x + -31x Combine like terms: 11x + -31x = -20x -2 + -20x = -8 + 31x + -31x Combine like terms: 31x + -31x = 0 -2 + -20x = -8 + 0 -2 + -20x = -8 Add '2' to each side of the equation. -2 + 2 + -20x = -8 + 2 Combine like terms: -2 + 2 = 0 0 + -20x = -8 + 2 -20x = -8 + 2 Combine like terms: -8 + 2 = -6 -20x = -6 Divide each side by '-20'. x = 0.3 Simplifying x = 0.3
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