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Simplifying 3(x + 1) + -6 = 4x + -18 Reorder the terms: 3(1 + x) + -6 = 4x + -18 (1 * 3 + x * 3) + -6 = 4x + -18 (3 + 3x) + -6 = 4x + -18 Reorder the terms: 3 + -6 + 3x = 4x + -18 Combine like terms: 3 + -6 = -3 -3 + 3x = 4x + -18 Reorder the terms: -3 + 3x = -18 + 4x Solving -3 + 3x = -18 + 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. -3 + 3x + -4x = -18 + 4x + -4x Combine like terms: 3x + -4x = -1x -3 + -1x = -18 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + -1x = -18 + 0 -3 + -1x = -18 Add '3' to each side of the equation. -3 + 3 + -1x = -18 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = -18 + 3 -1x = -18 + 3 Combine like terms: -18 + 3 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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