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Simplifying 4(3x + -2) + 2(4x + -2) = 15 Reorder the terms: 4(-2 + 3x) + 2(4x + -2) = 15 (-2 * 4 + 3x * 4) + 2(4x + -2) = 15 (-8 + 12x) + 2(4x + -2) = 15 Reorder the terms: -8 + 12x + 2(-2 + 4x) = 15 -8 + 12x + (-2 * 2 + 4x * 2) = 15 -8 + 12x + (-4 + 8x) = 15 Reorder the terms: -8 + -4 + 12x + 8x = 15 Combine like terms: -8 + -4 = -12 -12 + 12x + 8x = 15 Combine like terms: 12x + 8x = 20x -12 + 20x = 15 Solving -12 + 20x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 20x = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 20x = 15 + 12 20x = 15 + 12 Combine like terms: 15 + 12 = 27 20x = 27 Divide each side by '20'. x = 1.35 Simplifying x = 1.35
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