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Simplifying x + -1(x + 3) + x + -5 = 6 + -1(x + -4) + (x + 1) Reorder the terms: x + -1(3 + x) + x + -5 = 6 + -1(x + -4) + (x + 1) x + (3 * -1 + x * -1) + x + -5 = 6 + -1(x + -4) + (x + 1) x + (-3 + -1x) + x + -5 = 6 + -1(x + -4) + (x + 1) Reorder the terms: -3 + -5 + x + -1x + x = 6 + -1(x + -4) + (x + 1) Combine like terms: -3 + -5 = -8 -8 + x + -1x + x = 6 + -1(x + -4) + (x + 1) Combine like terms: x + -1x = 0 -8 + 0 + x = 6 + -1(x + -4) + (x + 1) -8 + x = 6 + -1(x + -4) + (x + 1) Reorder the terms: -8 + x = 6 + -1(-4 + x) + (x + 1) -8 + x = 6 + (-4 * -1 + x * -1) + (x + 1) -8 + x = 6 + (4 + -1x) + (x + 1) Reorder the terms: -8 + x = 6 + 4 + -1x + (1 + x) Remove parenthesis around (1 + x) -8 + x = 6 + 4 + -1x + 1 + x Reorder the terms: -8 + x = 6 + 4 + 1 + -1x + x Combine like terms: 6 + 4 = 10 -8 + x = 10 + 1 + -1x + x Combine like terms: 10 + 1 = 11 -8 + x = 11 + -1x + x Combine like terms: -1x + x = 0 -8 + x = 11 + 0 -8 + x = 11 Solving -8 + x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x = 11 + 8 Combine like terms: -8 + 8 = 0 0 + x = 11 + 8 x = 11 + 8 Combine like terms: 11 + 8 = 19 x = 19 Simplifying x = 19
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