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