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Simplifying 2x + 3(-1x + 2) = 3(4x + -6) Reorder the terms: 2x + 3(2 + -1x) = 3(4x + -6) 2x + (2 * 3 + -1x * 3) = 3(4x + -6) 2x + (6 + -3x) = 3(4x + -6) Reorder the terms: 6 + 2x + -3x = 3(4x + -6) Combine like terms: 2x + -3x = -1x 6 + -1x = 3(4x + -6) Reorder the terms: 6 + -1x = 3(-6 + 4x) 6 + -1x = (-6 * 3 + 4x * 3) 6 + -1x = (-18 + 12x) Solving 6 + -1x = -18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 6 + -1x + -12x = -18 + 12x + -12x Combine like terms: -1x + -12x = -13x 6 + -13x = -18 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -13x = -18 + 0 6 + -13x = -18 Add '-6' to each side of the equation. 6 + -6 + -13x = -18 + -6 Combine like terms: 6 + -6 = 0 0 + -13x = -18 + -6 -13x = -18 + -6 Combine like terms: -18 + -6 = -24 -13x = -24 Divide each side by '-13'. x = 1.846153846 Simplifying x = 1.846153846
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