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Simplifying 7x + 8(x + 0.25) = 3(6x + -9) + -8 Reorder the terms: 7x + 8(0.25 + x) = 3(6x + -9) + -8 7x + (0.25 * 8 + x * 8) = 3(6x + -9) + -8 7x + (2 + 8x) = 3(6x + -9) + -8 Reorder the terms: 2 + 7x + 8x = 3(6x + -9) + -8 Combine like terms: 7x + 8x = 15x 2 + 15x = 3(6x + -9) + -8 Reorder the terms: 2 + 15x = 3(-9 + 6x) + -8 2 + 15x = (-9 * 3 + 6x * 3) + -8 2 + 15x = (-27 + 18x) + -8 Reorder the terms: 2 + 15x = -27 + -8 + 18x Combine like terms: -27 + -8 = -35 2 + 15x = -35 + 18x Solving 2 + 15x = -35 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 2 + 15x + -18x = -35 + 18x + -18x Combine like terms: 15x + -18x = -3x 2 + -3x = -35 + 18x + -18x Combine like terms: 18x + -18x = 0 2 + -3x = -35 + 0 2 + -3x = -35 Add '-2' to each side of the equation. 2 + -2 + -3x = -35 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = -35 + -2 -3x = -35 + -2 Combine like terms: -35 + -2 = -37 -3x = -37 Divide each side by '-3'. x = 12.33333333 Simplifying x = 12.33333333
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