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Simplifying 8(3x + -1) + -1(6x + -8) = 5(4x + -30) Reorder the terms: 8(-1 + 3x) + -1(6x + -8) = 5(4x + -30) (-1 * 8 + 3x * 8) + -1(6x + -8) = 5(4x + -30) (-8 + 24x) + -1(6x + -8) = 5(4x + -30) Reorder the terms: -8 + 24x + -1(-8 + 6x) = 5(4x + -30) -8 + 24x + (-8 * -1 + 6x * -1) = 5(4x + -30) -8 + 24x + (8 + -6x) = 5(4x + -30) Reorder the terms: -8 + 8 + 24x + -6x = 5(4x + -30) Combine like terms: -8 + 8 = 0 0 + 24x + -6x = 5(4x + -30) 24x + -6x = 5(4x + -30) Combine like terms: 24x + -6x = 18x 18x = 5(4x + -30) Reorder the terms: 18x = 5(-30 + 4x) 18x = (-30 * 5 + 4x * 5) 18x = (-150 + 20x) Solving 18x = -150 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 18x + -20x = -150 + 20x + -20x Combine like terms: 18x + -20x = -2x -2x = -150 + 20x + -20x Combine like terms: 20x + -20x = 0 -2x = -150 + 0 -2x = -150 Divide each side by '-2'. x = 75 Simplifying x = 75
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