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Simplifying 3(5x + 1) + 8(x + -2) = 2(6x + -1) + -9x + -6 Reorder the terms: 3(1 + 5x) + 8(x + -2) = 2(6x + -1) + -9x + -6 (1 * 3 + 5x * 3) + 8(x + -2) = 2(6x + -1) + -9x + -6 (3 + 15x) + 8(x + -2) = 2(6x + -1) + -9x + -6 Reorder the terms: 3 + 15x + 8(-2 + x) = 2(6x + -1) + -9x + -6 3 + 15x + (-2 * 8 + x * 8) = 2(6x + -1) + -9x + -6 3 + 15x + (-16 + 8x) = 2(6x + -1) + -9x + -6 Reorder the terms: 3 + -16 + 15x + 8x = 2(6x + -1) + -9x + -6 Combine like terms: 3 + -16 = -13 -13 + 15x + 8x = 2(6x + -1) + -9x + -6 Combine like terms: 15x + 8x = 23x -13 + 23x = 2(6x + -1) + -9x + -6 Reorder the terms: -13 + 23x = 2(-1 + 6x) + -9x + -6 -13 + 23x = (-1 * 2 + 6x * 2) + -9x + -6 -13 + 23x = (-2 + 12x) + -9x + -6 Reorder the terms: -13 + 23x = -2 + -6 + 12x + -9x Combine like terms: -2 + -6 = -8 -13 + 23x = -8 + 12x + -9x Combine like terms: 12x + -9x = 3x -13 + 23x = -8 + 3x Solving -13 + 23x = -8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -13 + 23x + -3x = -8 + 3x + -3x Combine like terms: 23x + -3x = 20x -13 + 20x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 -13 + 20x = -8 + 0 -13 + 20x = -8 Add '13' to each side of the equation. -13 + 13 + 20x = -8 + 13 Combine like terms: -13 + 13 = 0 0 + 20x = -8 + 13 20x = -8 + 13 Combine like terms: -8 + 13 = 5 20x = 5 Divide each side by '20'. x = 0.25 Simplifying x = 0.25
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