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