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Simplifying 6(1 + -3x) = 2(x + -4) (1 * 6 + -3x * 6) = 2(x + -4) (6 + -18x) = 2(x + -4) Reorder the terms: 6 + -18x = 2(-4 + x) 6 + -18x = (-4 * 2 + x * 2) 6 + -18x = (-8 + 2x) Solving 6 + -18x = -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. 6 + -18x + -2x = -8 + 2x + -2x Combine like terms: -18x + -2x = -20x 6 + -20x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -20x = -8 + 0 6 + -20x = -8 Add '-6' to each side of the equation. 6 + -6 + -20x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -20x = -8 + -6 -20x = -8 + -6 Combine like terms: -8 + -6 = -14 -20x = -14 Divide each side by '-20'. x = 0.7 Simplifying x = 0.7
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