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Simplifying 2(5x + -3) + -1(3x + -2) = x + -10 Reorder the terms: 2(-3 + 5x) + -1(3x + -2) = x + -10 (-3 * 2 + 5x * 2) + -1(3x + -2) = x + -10 (-6 + 10x) + -1(3x + -2) = x + -10 Reorder the terms: -6 + 10x + -1(-2 + 3x) = x + -10 -6 + 10x + (-2 * -1 + 3x * -1) = x + -10 -6 + 10x + (2 + -3x) = x + -10 Reorder the terms: -6 + 2 + 10x + -3x = x + -10 Combine like terms: -6 + 2 = -4 -4 + 10x + -3x = x + -10 Combine like terms: 10x + -3x = 7x -4 + 7x = x + -10 Reorder the terms: -4 + 7x = -10 + x Solving -4 + 7x = -10 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4 + 7x + -1x = -10 + x + -1x Combine like terms: 7x + -1x = 6x -4 + 6x = -10 + x + -1x Combine like terms: x + -1x = 0 -4 + 6x = -10 + 0 -4 + 6x = -10 Add '4' to each side of the equation. -4 + 4 + 6x = -10 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = -10 + 4 6x = -10 + 4 Combine like terms: -10 + 4 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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