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