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Simplifying 5 + -2(x + -7) = 8 + -1(x + -6) Reorder the terms: 5 + -2(-7 + x) = 8 + -1(x + -6) 5 + (-7 * -2 + x * -2) = 8 + -1(x + -6) 5 + (14 + -2x) = 8 + -1(x + -6) Combine like terms: 5 + 14 = 19 19 + -2x = 8 + -1(x + -6) Reorder the terms: 19 + -2x = 8 + -1(-6 + x) 19 + -2x = 8 + (-6 * -1 + x * -1) 19 + -2x = 8 + (6 + -1x) Combine like terms: 8 + 6 = 14 19 + -2x = 14 + -1x Solving 19 + -2x = 14 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 19 + -2x + x = 14 + -1x + x Combine like terms: -2x + x = -1x 19 + -1x = 14 + -1x + x Combine like terms: -1x + x = 0 19 + -1x = 14 + 0 19 + -1x = 14 Add '-19' to each side of the equation. 19 + -19 + -1x = 14 + -19 Combine like terms: 19 + -19 = 0 0 + -1x = 14 + -19 -1x = 14 + -19 Combine like terms: 14 + -19 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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