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Simplifying -3(8x + -1) + 7x + 10 + -6x = 6x + -2 + -8x + 2x + -1(3x + 10) Reorder the terms: -3(-1 + 8x) + 7x + 10 + -6x = 6x + -2 + -8x + 2x + -1(3x + 10) (-1 * -3 + 8x * -3) + 7x + 10 + -6x = 6x + -2 + -8x + 2x + -1(3x + 10) (3 + -24x) + 7x + 10 + -6x = 6x + -2 + -8x + 2x + -1(3x + 10) Reorder the terms: 3 + 10 + -24x + 7x + -6x = 6x + -2 + -8x + 2x + -1(3x + 10) Combine like terms: 3 + 10 = 13 13 + -24x + 7x + -6x = 6x + -2 + -8x + 2x + -1(3x + 10) Combine like terms: -24x + 7x = -17x 13 + -17x + -6x = 6x + -2 + -8x + 2x + -1(3x + 10) Combine like terms: -17x + -6x = -23x 13 + -23x = 6x + -2 + -8x + 2x + -1(3x + 10) Reorder the terms: 13 + -23x = 6x + -2 + -8x + 2x + -1(10 + 3x) 13 + -23x = 6x + -2 + -8x + 2x + (10 * -1 + 3x * -1) 13 + -23x = 6x + -2 + -8x + 2x + (-10 + -3x) Reorder the terms: 13 + -23x = -2 + -10 + 6x + -8x + 2x + -3x Combine like terms: -2 + -10 = -12 13 + -23x = -12 + 6x + -8x + 2x + -3x Combine like terms: 6x + -8x = -2x 13 + -23x = -12 + -2x + 2x + -3x Combine like terms: -2x + 2x = 0 13 + -23x = -12 + 0 + -3x 13 + -23x = -12 + -3x Solving 13 + -23x = -12 + -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 = -12 + -3x + 3x Combine like terms: -23x + 3x = -20x 13 + -20x = -12 + -3x + 3x Combine like terms: -3x + 3x = 0 13 + -20x = -12 + 0 13 + -20x = -12 Add '-13' to each side of the equation. 13 + -13 + -20x = -12 + -13 Combine like terms: 13 + -13 = 0 0 + -20x = -12 + -13 -20x = -12 + -13 Combine like terms: -12 + -13 = -25 -20x = -25 Divide each side by '-20'. x = 1.25 Simplifying x = 1.25
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