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Simplifying -2x + 8 = 5x + -1(x + 10) Reorder the terms: 8 + -2x = 5x + -1(x + 10) Reorder the terms: 8 + -2x = 5x + -1(10 + x) 8 + -2x = 5x + (10 * -1 + x * -1) 8 + -2x = 5x + (-10 + -1x) Reorder the terms: 8 + -2x = -10 + 5x + -1x Combine like terms: 5x + -1x = 4x 8 + -2x = -10 + 4x Solving 8 + -2x = -10 + 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 + -2x + -4x = -10 + 4x + -4x Combine like terms: -2x + -4x = -6x 8 + -6x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -6x = -10 + 0 8 + -6x = -10 Add '-8' to each side of the equation. 8 + -8 + -6x = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = -10 + -8 -6x = -10 + -8 Combine like terms: -10 + -8 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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