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Simplifying 3(x + -1) + -18 = 2(x + -1) + -6 Reorder the terms: 3(-1 + x) + -18 = 2(x + -1) + -6 (-1 * 3 + x * 3) + -18 = 2(x + -1) + -6 (-3 + 3x) + -18 = 2(x + -1) + -6 Reorder the terms: -3 + -18 + 3x = 2(x + -1) + -6 Combine like terms: -3 + -18 = -21 -21 + 3x = 2(x + -1) + -6 Reorder the terms: -21 + 3x = 2(-1 + x) + -6 -21 + 3x = (-1 * 2 + x * 2) + -6 -21 + 3x = (-2 + 2x) + -6 Reorder the terms: -21 + 3x = -2 + -6 + 2x Combine like terms: -2 + -6 = -8 -21 + 3x = -8 + 2x Solving -21 + 3x = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -21 + 3x + -2x = -8 + 2x + -2x Combine like terms: 3x + -2x = 1x -21 + 1x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -21 + 1x = -8 + 0 -21 + 1x = -8 Add '21' to each side of the equation. -21 + 21 + 1x = -8 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = -8 + 21 1x = -8 + 21 Combine like terms: -8 + 21 = 13 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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