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Simplifying 2(x + -3) + 4 = 6(2x + -1) + -14 Reorder the terms: 2(-3 + x) + 4 = 6(2x + -1) + -14 (-3 * 2 + x * 2) + 4 = 6(2x + -1) + -14 (-6 + 2x) + 4 = 6(2x + -1) + -14 Reorder the terms: -6 + 4 + 2x = 6(2x + -1) + -14 Combine like terms: -6 + 4 = -2 -2 + 2x = 6(2x + -1) + -14 Reorder the terms: -2 + 2x = 6(-1 + 2x) + -14 -2 + 2x = (-1 * 6 + 2x * 6) + -14 -2 + 2x = (-6 + 12x) + -14 Reorder the terms: -2 + 2x = -6 + -14 + 12x Combine like terms: -6 + -14 = -20 -2 + 2x = -20 + 12x Solving -2 + 2x = -20 + 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. -2 + 2x + -12x = -20 + 12x + -12x Combine like terms: 2x + -12x = -10x -2 + -10x = -20 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -10x = -20 + 0 -2 + -10x = -20 Add '2' to each side of the equation. -2 + 2 + -10x = -20 + 2 Combine like terms: -2 + 2 = 0 0 + -10x = -20 + 2 -10x = -20 + 2 Combine like terms: -20 + 2 = -18 -10x = -18 Divide each side by '-10'. x = 1.8 Simplifying x = 1.8
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