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Simplifying 8x + -10 = 3x + -5 + -1(x + -2) Reorder the terms: -10 + 8x = 3x + -5 + -1(x + -2) Reorder the terms: -10 + 8x = 3x + -5 + -1(-2 + x) -10 + 8x = 3x + -5 + (-2 * -1 + x * -1) -10 + 8x = 3x + -5 + (2 + -1x) Reorder the terms: -10 + 8x = -5 + 2 + 3x + -1x Combine like terms: -5 + 2 = -3 -10 + 8x = -3 + 3x + -1x Combine like terms: 3x + -1x = 2x -10 + 8x = -3 + 2x Solving -10 + 8x = -3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -10 + 8x + -2x = -3 + 2x + -2x Combine like terms: 8x + -2x = 6x -10 + 6x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 6x = -3 + 0 -10 + 6x = -3 Add '10' to each side of the equation. -10 + 10 + 6x = -3 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = -3 + 10 6x = -3 + 10 Combine like terms: -3 + 10 = 7 6x = 7 Divide each side by '6'. x = 1.166666667 Simplifying x = 1.166666667
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