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Simplifying 0.25(8x + 12) + -3(3x + -4) = 43 Reorder the terms: 0.25(12 + 8x) + -3(3x + -4) = 43 (12 * 0.25 + 8x * 0.25) + -3(3x + -4) = 43 (3 + 2x) + -3(3x + -4) = 43 Reorder the terms: 3 + 2x + -3(-4 + 3x) = 43 3 + 2x + (-4 * -3 + 3x * -3) = 43 3 + 2x + (12 + -9x) = 43 Reorder the terms: 3 + 12 + 2x + -9x = 43 Combine like terms: 3 + 12 = 15 15 + 2x + -9x = 43 Combine like terms: 2x + -9x = -7x 15 + -7x = 43 Solving 15 + -7x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -7x = 43 + -15 Combine like terms: 15 + -15 = 0 0 + -7x = 43 + -15 -7x = 43 + -15 Combine like terms: 43 + -15 = 28 -7x = 28 Divide each side by '-7'. x = -4 Simplifying x = -4
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