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Simplifying 7 + 8(x + -1) = 6 + -3(x + -6) Reorder the terms: 7 + 8(-1 + x) = 6 + -3(x + -6) 7 + (-1 * 8 + x * 8) = 6 + -3(x + -6) 7 + (-8 + 8x) = 6 + -3(x + -6) Combine like terms: 7 + -8 = -1 -1 + 8x = 6 + -3(x + -6) Reorder the terms: -1 + 8x = 6 + -3(-6 + x) -1 + 8x = 6 + (-6 * -3 + x * -3) -1 + 8x = 6 + (18 + -3x) Combine like terms: 6 + 18 = 24 -1 + 8x = 24 + -3x Solving -1 + 8x = 24 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -1 + 8x + 3x = 24 + -3x + 3x Combine like terms: 8x + 3x = 11x -1 + 11x = 24 + -3x + 3x Combine like terms: -3x + 3x = 0 -1 + 11x = 24 + 0 -1 + 11x = 24 Add '1' to each side of the equation. -1 + 1 + 11x = 24 + 1 Combine like terms: -1 + 1 = 0 0 + 11x = 24 + 1 11x = 24 + 1 Combine like terms: 24 + 1 = 25 11x = 25 Divide each side by '11'. x = 2.272727273 Simplifying x = 2.272727273
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