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