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Simplifying 0.75(12x + -4) = 15x + 15 Reorder the terms: 0.75(-4 + 12x) = 15x + 15 (-4 * 0.75 + 12x * 0.75) = 15x + 15 (-3 + 9x) = 15x + 15 Reorder the terms: -3 + 9x = 15 + 15x Solving -3 + 9x = 15 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -3 + 9x + -15x = 15 + 15x + -15x Combine like terms: 9x + -15x = -6x -3 + -6x = 15 + 15x + -15x Combine like terms: 15x + -15x = 0 -3 + -6x = 15 + 0 -3 + -6x = 15 Add '3' to each side of the equation. -3 + 3 + -6x = 15 + 3 Combine like terms: -3 + 3 = 0 0 + -6x = 15 + 3 -6x = 15 + 3 Combine like terms: 15 + 3 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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