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Simplifying 3(x + -2) + -4(3 + -1x) = 15 Reorder the terms: 3(-2 + x) + -4(3 + -1x) = 15 (-2 * 3 + x * 3) + -4(3 + -1x) = 15 (-6 + 3x) + -4(3 + -1x) = 15 -6 + 3x + (3 * -4 + -1x * -4) = 15 -6 + 3x + (-12 + 4x) = 15 Reorder the terms: -6 + -12 + 3x + 4x = 15 Combine like terms: -6 + -12 = -18 -18 + 3x + 4x = 15 Combine like terms: 3x + 4x = 7x -18 + 7x = 15 Solving -18 + 7x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 7x = 15 + 18 Combine like terms: -18 + 18 = 0 0 + 7x = 15 + 18 7x = 15 + 18 Combine like terms: 15 + 18 = 33 7x = 33 Divide each side by '7'. x = 4.714285714 Simplifying x = 4.714285714
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