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Simplifying 4(2x + -2) + -1(2x + -8) = 5(3x + -1) + -13 Reorder the terms: 4(-2 + 2x) + -1(2x + -8) = 5(3x + -1) + -13 (-2 * 4 + 2x * 4) + -1(2x + -8) = 5(3x + -1) + -13 (-8 + 8x) + -1(2x + -8) = 5(3x + -1) + -13 Reorder the terms: -8 + 8x + -1(-8 + 2x) = 5(3x + -1) + -13 -8 + 8x + (-8 * -1 + 2x * -1) = 5(3x + -1) + -13 -8 + 8x + (8 + -2x) = 5(3x + -1) + -13 Reorder the terms: -8 + 8 + 8x + -2x = 5(3x + -1) + -13 Combine like terms: -8 + 8 = 0 0 + 8x + -2x = 5(3x + -1) + -13 8x + -2x = 5(3x + -1) + -13 Combine like terms: 8x + -2x = 6x 6x = 5(3x + -1) + -13 Reorder the terms: 6x = 5(-1 + 3x) + -13 6x = (-1 * 5 + 3x * 5) + -13 6x = (-5 + 15x) + -13 Reorder the terms: 6x = -5 + -13 + 15x Combine like terms: -5 + -13 = -18 6x = -18 + 15x Solving 6x = -18 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 6x + -15x = -18 + 15x + -15x Combine like terms: 6x + -15x = -9x -9x = -18 + 15x + -15x Combine like terms: 15x + -15x = 0 -9x = -18 + 0 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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