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Simplifying 0.75(12x + 8) = 2x + -15 Reorder the terms: 0.75(8 + 12x) = 2x + -15 (8 * 0.75 + 12x * 0.75) = 2x + -15 (6 + 9x) = 2x + -15 Reorder the terms: 6 + 9x = -15 + 2x Solving 6 + 9x = -15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 9x + -2x = -15 + 2x + -2x Combine like terms: 9x + -2x = 7x 6 + 7x = -15 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 7x = -15 + 0 6 + 7x = -15 Add '-6' to each side of the equation. 6 + -6 + 7x = -15 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = -15 + -6 7x = -15 + -6 Combine like terms: -15 + -6 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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