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Simplifying 3(x + 6) + 5(2 + -1x) = 10 + -4(6 + 2x) Reorder the terms: 3(6 + x) + 5(2 + -1x) = 10 + -4(6 + 2x) (6 * 3 + x * 3) + 5(2 + -1x) = 10 + -4(6 + 2x) (18 + 3x) + 5(2 + -1x) = 10 + -4(6 + 2x) 18 + 3x + (2 * 5 + -1x * 5) = 10 + -4(6 + 2x) 18 + 3x + (10 + -5x) = 10 + -4(6 + 2x) Reorder the terms: 18 + 10 + 3x + -5x = 10 + -4(6 + 2x) Combine like terms: 18 + 10 = 28 28 + 3x + -5x = 10 + -4(6 + 2x) Combine like terms: 3x + -5x = -2x 28 + -2x = 10 + -4(6 + 2x) 28 + -2x = 10 + (6 * -4 + 2x * -4) 28 + -2x = 10 + (-24 + -8x) Combine like terms: 10 + -24 = -14 28 + -2x = -14 + -8x Solving 28 + -2x = -14 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 28 + -2x + 8x = -14 + -8x + 8x Combine like terms: -2x + 8x = 6x 28 + 6x = -14 + -8x + 8x Combine like terms: -8x + 8x = 0 28 + 6x = -14 + 0 28 + 6x = -14 Add '-28' to each side of the equation. 28 + -28 + 6x = -14 + -28 Combine like terms: 28 + -28 = 0 0 + 6x = -14 + -28 6x = -14 + -28 Combine like terms: -14 + -28 = -42 6x = -42 Divide each side by '6'. x = -7 Simplifying x = -7
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