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Simplifying 3(x + -6) = 4(x + 4) Reorder the terms: 3(-6 + x) = 4(x + 4) (-6 * 3 + x * 3) = 4(x + 4) (-18 + 3x) = 4(x + 4) Reorder the terms: -18 + 3x = 4(4 + x) -18 + 3x = (4 * 4 + x * 4) -18 + 3x = (16 + 4x) Solving -18 + 3x = 16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -18 + 3x + -4x = 16 + 4x + -4x Combine like terms: 3x + -4x = -1x -18 + -1x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + -1x = 16 + 0 -18 + -1x = 16 Add '18' to each side of the equation. -18 + 18 + -1x = 16 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = 16 + 18 -1x = 16 + 18 Combine like terms: 16 + 18 = 34 -1x = 34 Divide each side by '-1'. x = -34 Simplifying x = -34
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