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Simplifying 5x + (-2x + (-1x + 6)) = 18 + -1(-1(7x + 6) + -1(3x + -24)) Reorder the terms: 5x + (-2x + (6 + -1x)) = 18 + -1(-1(7x + 6) + -1(3x + -24)) Remove parenthesis around (6 + -1x) 5x + (-2x + 6 + -1x) = 18 + -1(-1(7x + 6) + -1(3x + -24)) Reorder the terms: 5x + (6 + -2x + -1x) = 18 + -1(-1(7x + 6) + -1(3x + -24)) Combine like terms: -2x + -1x = -3x 5x + (6 + -3x) = 18 + -1(-1(7x + 6) + -1(3x + -24)) Remove parenthesis around (6 + -3x) 5x + 6 + -3x = 18 + -1(-1(7x + 6) + -1(3x + -24)) Reorder the terms: 6 + 5x + -3x = 18 + -1(-1(7x + 6) + -1(3x + -24)) Combine like terms: 5x + -3x = 2x 6 + 2x = 18 + -1(-1(7x + 6) + -1(3x + -24)) Reorder the terms: 6 + 2x = 18 + -1(-1(6 + 7x) + -1(3x + -24)) 6 + 2x = 18 + -1((6 * -1 + 7x * -1) + -1(3x + -24)) 6 + 2x = 18 + -1((-6 + -7x) + -1(3x + -24)) Reorder the terms: 6 + 2x = 18 + -1(-6 + -7x + -1(-24 + 3x)) 6 + 2x = 18 + -1(-6 + -7x + (-24 * -1 + 3x * -1)) 6 + 2x = 18 + -1(-6 + -7x + (24 + -3x)) Reorder the terms: 6 + 2x = 18 + -1(-6 + 24 + -7x + -3x) Combine like terms: -6 + 24 = 18 6 + 2x = 18 + -1(18 + -7x + -3x) Combine like terms: -7x + -3x = -10x 6 + 2x = 18 + -1(18 + -10x) 6 + 2x = 18 + (18 * -1 + -10x * -1) 6 + 2x = 18 + (-18 + 10x) Combine like terms: 18 + -18 = 0 6 + 2x = 0 + 10x 6 + 2x = 10x Solving 6 + 2x = 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. 6 + 2x + -10x = 10x + -10x Combine like terms: 2x + -10x = -8x 6 + -8x = 10x + -10x Combine like terms: 10x + -10x = 0 6 + -8x = 0 Add '-6' to each side of the equation. 6 + -6 + -8x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = 0 + -6 -8x = 0 + -6 Combine like terms: 0 + -6 = -6 -8x = -6 Divide each side by '-8'. x = 0.75 Simplifying x = 0.75
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