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Simplifying 6(3 + -1x) = 10 + -2(x + 5) (3 * 6 + -1x * 6) = 10 + -2(x + 5) (18 + -6x) = 10 + -2(x + 5) Reorder the terms: 18 + -6x = 10 + -2(5 + x) 18 + -6x = 10 + (5 * -2 + x * -2) 18 + -6x = 10 + (-10 + -2x) Combine like terms: 10 + -10 = 0 18 + -6x = 0 + -2x 18 + -6x = -2x Solving 18 + -6x = -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. 18 + -6x + 2x = -2x + 2x Combine like terms: -6x + 2x = -4x 18 + -4x = -2x + 2x Combine like terms: -2x + 2x = 0 18 + -4x = 0 Add '-18' to each side of the equation. 18 + -18 + -4x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -4x = 0 + -18 -4x = 0 + -18 Combine like terms: 0 + -18 = -18 -4x = -18 Divide each side by '-4'. x = 4.5 Simplifying x = 4.5
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