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Simplifying -2(5x + -3) + -1(2 + -3x) = 5 + -1(x + -10) Reorder the terms: -2(-3 + 5x) + -1(2 + -3x) = 5 + -1(x + -10) (-3 * -2 + 5x * -2) + -1(2 + -3x) = 5 + -1(x + -10) (6 + -10x) + -1(2 + -3x) = 5 + -1(x + -10) 6 + -10x + (2 * -1 + -3x * -1) = 5 + -1(x + -10) 6 + -10x + (-2 + 3x) = 5 + -1(x + -10) Reorder the terms: 6 + -2 + -10x + 3x = 5 + -1(x + -10) Combine like terms: 6 + -2 = 4 4 + -10x + 3x = 5 + -1(x + -10) Combine like terms: -10x + 3x = -7x 4 + -7x = 5 + -1(x + -10) Reorder the terms: 4 + -7x = 5 + -1(-10 + x) 4 + -7x = 5 + (-10 * -1 + x * -1) 4 + -7x = 5 + (10 + -1x) Combine like terms: 5 + 10 = 15 4 + -7x = 15 + -1x Solving 4 + -7x = 15 + -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 + -7x + x = 15 + -1x + x Combine like terms: -7x + x = -6x 4 + -6x = 15 + -1x + x Combine like terms: -1x + x = 0 4 + -6x = 15 + 0 4 + -6x = 15 Add '-4' to each side of the equation. 4 + -4 + -6x = 15 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = 15 + -4 -6x = 15 + -4 Combine like terms: 15 + -4 = 11 -6x = 11 Divide each side by '-6'. x = -1.833333333 Simplifying x = -1.833333333
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