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Simplifying 8x + 4 + -5x = 10 + -1(x + -2) Reorder the terms: 4 + 8x + -5x = 10 + -1(x + -2) Combine like terms: 8x + -5x = 3x 4 + 3x = 10 + -1(x + -2) Reorder the terms: 4 + 3x = 10 + -1(-2 + x) 4 + 3x = 10 + (-2 * -1 + x * -1) 4 + 3x = 10 + (2 + -1x) Combine like terms: 10 + 2 = 12 4 + 3x = 12 + -1x Solving 4 + 3x = 12 + -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 = 12 + -1x + x Combine like terms: 3x + x = 4x 4 + 4x = 12 + -1x + x Combine like terms: -1x + x = 0 4 + 4x = 12 + 0 4 + 4x = 12 Add '-4' to each side of the equation. 4 + -4 + 4x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 12 + -4 4x = 12 + -4 Combine like terms: 12 + -4 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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