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Simplifying 5x + -1(2x + -8) = 4x + 23 Reorder the terms: 5x + -1(-8 + 2x) = 4x + 23 5x + (-8 * -1 + 2x * -1) = 4x + 23 5x + (8 + -2x) = 4x + 23 Reorder the terms: 8 + 5x + -2x = 4x + 23 Combine like terms: 5x + -2x = 3x 8 + 3x = 4x + 23 Reorder the terms: 8 + 3x = 23 + 4x Solving 8 + 3x = 23 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + 3x + -4x = 23 + 4x + -4x Combine like terms: 3x + -4x = -1x 8 + -1x = 23 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -1x = 23 + 0 8 + -1x = 23 Add '-8' to each side of the equation. 8 + -8 + -1x = 23 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 23 + -8 -1x = 23 + -8 Combine like terms: 23 + -8 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15
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