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Simplifying 0.5(-2x + -10) = 3(4 + -6x) Reorder the terms: 0.5(-10 + -2x) = 3(4 + -6x) (-10 * 0.5 + -2x * 0.5) = 3(4 + -6x) (-5 + -1x) = 3(4 + -6x) -5 + -1x = (4 * 3 + -6x * 3) -5 + -1x = (12 + -18x) Solving -5 + -1x = 12 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -5 + -1x + 18x = 12 + -18x + 18x Combine like terms: -1x + 18x = 17x -5 + 17x = 12 + -18x + 18x Combine like terms: -18x + 18x = 0 -5 + 17x = 12 + 0 -5 + 17x = 12 Add '5' to each side of the equation. -5 + 5 + 17x = 12 + 5 Combine like terms: -5 + 5 = 0 0 + 17x = 12 + 5 17x = 12 + 5 Combine like terms: 12 + 5 = 17 17x = 17 Divide each side by '17'. x = 1 Simplifying x = 1
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