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Simplifying 2(3 + -1x) = 3(x + -4) + 15 (3 * 2 + -1x * 2) = 3(x + -4) + 15 (6 + -2x) = 3(x + -4) + 15 Reorder the terms: 6 + -2x = 3(-4 + x) + 15 6 + -2x = (-4 * 3 + x * 3) + 15 6 + -2x = (-12 + 3x) + 15 Reorder the terms: 6 + -2x = -12 + 15 + 3x Combine like terms: -12 + 15 = 3 6 + -2x = 3 + 3x Solving 6 + -2x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + -2x + -3x = 3 + 3x + -3x Combine like terms: -2x + -3x = -5x 6 + -5x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -5x = 3 + 0 6 + -5x = 3 Add '-6' to each side of the equation. 6 + -6 + -5x = 3 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 3 + -6 -5x = 3 + -6 Combine like terms: 3 + -6 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6
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