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Simplifying 3(x + -2) + -1(5x + -3) = 2x + 10 Reorder the terms: 3(-2 + x) + -1(5x + -3) = 2x + 10 (-2 * 3 + x * 3) + -1(5x + -3) = 2x + 10 (-6 + 3x) + -1(5x + -3) = 2x + 10 Reorder the terms: -6 + 3x + -1(-3 + 5x) = 2x + 10 -6 + 3x + (-3 * -1 + 5x * -1) = 2x + 10 -6 + 3x + (3 + -5x) = 2x + 10 Reorder the terms: -6 + 3 + 3x + -5x = 2x + 10 Combine like terms: -6 + 3 = -3 -3 + 3x + -5x = 2x + 10 Combine like terms: 3x + -5x = -2x -3 + -2x = 2x + 10 Reorder the terms: -3 + -2x = 10 + 2x Solving -3 + -2x = 10 + 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. -3 + -2x + -2x = 10 + 2x + -2x Combine like terms: -2x + -2x = -4x -3 + -4x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + -4x = 10 + 0 -3 + -4x = 10 Add '3' to each side of the equation. -3 + 3 + -4x = 10 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 10 + 3 -4x = 10 + 3 Combine like terms: 10 + 3 = 13 -4x = 13 Divide each side by '-4'. x = -3.25 Simplifying x = -3.25
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