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Simplifying 3x + -1(18 + -1x) = 3(x + -4) 3x + (18 * -1 + -1x * -1) = 3(x + -4) 3x + (-18 + 1x) = 3(x + -4) Reorder the terms: -18 + 3x + 1x = 3(x + -4) Combine like terms: 3x + 1x = 4x -18 + 4x = 3(x + -4) Reorder the terms: -18 + 4x = 3(-4 + x) -18 + 4x = (-4 * 3 + x * 3) -18 + 4x = (-12 + 3x) Solving -18 + 4x = -12 + 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. -18 + 4x + -3x = -12 + 3x + -3x Combine like terms: 4x + -3x = 1x -18 + 1x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 1x = -12 + 0 -18 + 1x = -12 Add '18' to each side of the equation. -18 + 18 + 1x = -12 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = -12 + 18 1x = -12 + 18 Combine like terms: -12 + 18 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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