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Simplifying 6 + -3(4x + -8) + -2x = -1(4x + 5) + 10x Reorder the terms: 6 + -3(-8 + 4x) + -2x = -1(4x + 5) + 10x 6 + (-8 * -3 + 4x * -3) + -2x = -1(4x + 5) + 10x 6 + (24 + -12x) + -2x = -1(4x + 5) + 10x Combine like terms: 6 + 24 = 30 30 + -12x + -2x = -1(4x + 5) + 10x Combine like terms: -12x + -2x = -14x 30 + -14x = -1(4x + 5) + 10x Reorder the terms: 30 + -14x = -1(5 + 4x) + 10x 30 + -14x = (5 * -1 + 4x * -1) + 10x 30 + -14x = (-5 + -4x) + 10x Combine like terms: -4x + 10x = 6x 30 + -14x = -5 + 6x Solving 30 + -14x = -5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 30 + -14x + -6x = -5 + 6x + -6x Combine like terms: -14x + -6x = -20x 30 + -20x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 30 + -20x = -5 + 0 30 + -20x = -5 Add '-30' to each side of the equation. 30 + -30 + -20x = -5 + -30 Combine like terms: 30 + -30 = 0 0 + -20x = -5 + -30 -20x = -5 + -30 Combine like terms: -5 + -30 = -35 -20x = -35 Divide each side by '-20'. x = 1.75 Simplifying x = 1.75
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