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Simplifying 2(3x + -5) + -1(5x + -3) = 4x + -5 Reorder the terms: 2(-5 + 3x) + -1(5x + -3) = 4x + -5 (-5 * 2 + 3x * 2) + -1(5x + -3) = 4x + -5 (-10 + 6x) + -1(5x + -3) = 4x + -5 Reorder the terms: -10 + 6x + -1(-3 + 5x) = 4x + -5 -10 + 6x + (-3 * -1 + 5x * -1) = 4x + -5 -10 + 6x + (3 + -5x) = 4x + -5 Reorder the terms: -10 + 3 + 6x + -5x = 4x + -5 Combine like terms: -10 + 3 = -7 -7 + 6x + -5x = 4x + -5 Combine like terms: 6x + -5x = 1x -7 + 1x = 4x + -5 Reorder the terms: -7 + 1x = -5 + 4x Solving -7 + 1x = -5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + 1x + -4x = -5 + 4x + -4x Combine like terms: 1x + -4x = -3x -7 + -3x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + -3x = -5 + 0 -7 + -3x = -5 Add '7' to each side of the equation. -7 + 7 + -3x = -5 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = -5 + 7 -3x = -5 + 7 Combine like terms: -5 + 7 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667
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