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Simplifying 2(x + -5) + 4(-1x) = 5 + -1(-3x) Reorder the terms: 2(-5 + x) + 4(-1x) = 5 + -1(-3x) (-5 * 2 + x * 2) + 4(-1x) = 5 + -1(-3x) (-10 + 2x) + 4(-1x) = 5 + -1(-3x) Remove parenthesis around (-1x) -10 + 2x + 4 * -1x = 5 + -1(-3x) Multiply 4 * -1 -10 + 2x + -4x = 5 + -1(-3x) Combine like terms: 2x + -4x = -2x -10 + -2x = 5 + -1(-3x) Remove parenthesis around (-3x) -10 + -2x = 5 + -1 * -3x Multiply -1 * -3 -10 + -2x = 5 + 3x Solving -10 + -2x = 5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + -2x + -3x = 5 + 3x + -3x Combine like terms: -2x + -3x = -5x -10 + -5x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + -5x = 5 + 0 -10 + -5x = 5 Add '10' to each side of the equation. -10 + 10 + -5x = 5 + 10 Combine like terms: -10 + 10 = 0 0 + -5x = 5 + 10 -5x = 5 + 10 Combine like terms: 5 + 10 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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