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Simplifying 3(x + -1) + -4(x + 6) = 10(x + 5) Reorder the terms: 3(-1 + x) + -4(x + 6) = 10(x + 5) (-1 * 3 + x * 3) + -4(x + 6) = 10(x + 5) (-3 + 3x) + -4(x + 6) = 10(x + 5) Reorder the terms: -3 + 3x + -4(6 + x) = 10(x + 5) -3 + 3x + (6 * -4 + x * -4) = 10(x + 5) -3 + 3x + (-24 + -4x) = 10(x + 5) Reorder the terms: -3 + -24 + 3x + -4x = 10(x + 5) Combine like terms: -3 + -24 = -27 -27 + 3x + -4x = 10(x + 5) Combine like terms: 3x + -4x = -1x -27 + -1x = 10(x + 5) Reorder the terms: -27 + -1x = 10(5 + x) -27 + -1x = (5 * 10 + x * 10) -27 + -1x = (50 + 10x) Solving -27 + -1x = 50 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -27 + -1x + -10x = 50 + 10x + -10x Combine like terms: -1x + -10x = -11x -27 + -11x = 50 + 10x + -10x Combine like terms: 10x + -10x = 0 -27 + -11x = 50 + 0 -27 + -11x = 50 Add '27' to each side of the equation. -27 + 27 + -11x = 50 + 27 Combine like terms: -27 + 27 = 0 0 + -11x = 50 + 27 -11x = 50 + 27 Combine like terms: 50 + 27 = 77 -11x = 77 Divide each side by '-11'. x = -7 Simplifying x = -7
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