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