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Simplifying 1 + 2x + 4 = 1 + -1(x + 8) Reorder the terms: 1 + 4 + 2x = 1 + -1(x + 8) Combine like terms: 1 + 4 = 5 5 + 2x = 1 + -1(x + 8) Reorder the terms: 5 + 2x = 1 + -1(8 + x) 5 + 2x = 1 + (8 * -1 + x * -1) 5 + 2x = 1 + (-8 + -1x) Combine like terms: 1 + -8 = -7 5 + 2x = -7 + -1x Solving 5 + 2x = -7 + -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. 5 + 2x + x = -7 + -1x + x Combine like terms: 2x + x = 3x 5 + 3x = -7 + -1x + x Combine like terms: -1x + x = 0 5 + 3x = -7 + 0 5 + 3x = -7 Add '-5' to each side of the equation. 5 + -5 + 3x = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = -7 + -5 3x = -7 + -5 Combine like terms: -7 + -5 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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