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Simplifying 2(2x + 3) + -4(3x + -6) = 15 Reorder the terms: 2(3 + 2x) + -4(3x + -6) = 15 (3 * 2 + 2x * 2) + -4(3x + -6) = 15 (6 + 4x) + -4(3x + -6) = 15 Reorder the terms: 6 + 4x + -4(-6 + 3x) = 15 6 + 4x + (-6 * -4 + 3x * -4) = 15 6 + 4x + (24 + -12x) = 15 Reorder the terms: 6 + 24 + 4x + -12x = 15 Combine like terms: 6 + 24 = 30 30 + 4x + -12x = 15 Combine like terms: 4x + -12x = -8x 30 + -8x = 15 Solving 30 + -8x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -8x = 15 + -30 Combine like terms: 30 + -30 = 0 0 + -8x = 15 + -30 -8x = 15 + -30 Combine like terms: 15 + -30 = -15 -8x = -15 Divide each side by '-8'. x = 1.875 Simplifying x = 1.875
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