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Simplifying 3(5x + 6) = 10 + -1(x + 4) Reorder the terms: 3(6 + 5x) = 10 + -1(x + 4) (6 * 3 + 5x * 3) = 10 + -1(x + 4) (18 + 15x) = 10 + -1(x + 4) Reorder the terms: 18 + 15x = 10 + -1(4 + x) 18 + 15x = 10 + (4 * -1 + x * -1) 18 + 15x = 10 + (-4 + -1x) Combine like terms: 10 + -4 = 6 18 + 15x = 6 + -1x Solving 18 + 15x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 18 + 15x + x = 6 + -1x + x Combine like terms: 15x + x = 16x 18 + 16x = 6 + -1x + x Combine like terms: -1x + x = 0 18 + 16x = 6 + 0 18 + 16x = 6 Add '-18' to each side of the equation. 18 + -18 + 16x = 6 + -18 Combine like terms: 18 + -18 = 0 0 + 16x = 6 + -18 16x = 6 + -18 Combine like terms: 6 + -18 = -12 16x = -12 Divide each side by '16'. x = -0.75 Simplifying x = -0.75
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