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Simplifying 7x + 8(x + 0.25) = 2(6x + -9) + -8 Reorder the terms: 7x + 8(0.25 + x) = 2(6x + -9) + -8 7x + (0.25 * 8 + x * 8) = 2(6x + -9) + -8 7x + (2 + 8x) = 2(6x + -9) + -8 Reorder the terms: 2 + 7x + 8x = 2(6x + -9) + -8 Combine like terms: 7x + 8x = 15x 2 + 15x = 2(6x + -9) + -8 Reorder the terms: 2 + 15x = 2(-9 + 6x) + -8 2 + 15x = (-9 * 2 + 6x * 2) + -8 2 + 15x = (-18 + 12x) + -8 Reorder the terms: 2 + 15x = -18 + -8 + 12x Combine like terms: -18 + -8 = -26 2 + 15x = -26 + 12x Solving 2 + 15x = -26 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 2 + 15x + -12x = -26 + 12x + -12x Combine like terms: 15x + -12x = 3x 2 + 3x = -26 + 12x + -12x Combine like terms: 12x + -12x = 0 2 + 3x = -26 + 0 2 + 3x = -26 Add '-2' to each side of the equation. 2 + -2 + 3x = -26 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = -26 + -2 3x = -26 + -2 Combine like terms: -26 + -2 = -28 3x = -28 Divide each side by '3'. x = -9.333333333 Simplifying x = -9.333333333
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