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Simplifying 7x + 8(x + 0.75) = 3(6x + -9) + -8 Reorder the terms: 7x + 8(0.75 + x) = 3(6x + -9) + -8 7x + (0.75 * 8 + x * 8) = 3(6x + -9) + -8 7x + (6 + 8x) = 3(6x + -9) + -8 Reorder the terms: 6 + 7x + 8x = 3(6x + -9) + -8 Combine like terms: 7x + 8x = 15x 6 + 15x = 3(6x + -9) + -8 Reorder the terms: 6 + 15x = 3(-9 + 6x) + -8 6 + 15x = (-9 * 3 + 6x * 3) + -8 6 + 15x = (-27 + 18x) + -8 Reorder the terms: 6 + 15x = -27 + -8 + 18x Combine like terms: -27 + -8 = -35 6 + 15x = -35 + 18x Solving 6 + 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. 6 + 15x + -18x = -35 + 18x + -18x Combine like terms: 15x + -18x = -3x 6 + -3x = -35 + 18x + -18x Combine like terms: 18x + -18x = 0 6 + -3x = -35 + 0 6 + -3x = -35 Add '-6' to each side of the equation. 6 + -6 + -3x = -35 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = -35 + -6 -3x = -35 + -6 Combine like terms: -35 + -6 = -41 -3x = -41 Divide each side by '-3'. x = 13.66666667 Simplifying x = 13.66666667
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