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Simplifying 3(x + -5) + 2 = 5 + -1(x + 2) Reorder the terms: 3(-5 + x) + 2 = 5 + -1(x + 2) (-5 * 3 + x * 3) + 2 = 5 + -1(x + 2) (-15 + 3x) + 2 = 5 + -1(x + 2) Reorder the terms: -15 + 2 + 3x = 5 + -1(x + 2) Combine like terms: -15 + 2 = -13 -13 + 3x = 5 + -1(x + 2) Reorder the terms: -13 + 3x = 5 + -1(2 + x) -13 + 3x = 5 + (2 * -1 + x * -1) -13 + 3x = 5 + (-2 + -1x) Combine like terms: 5 + -2 = 3 -13 + 3x = 3 + -1x Solving -13 + 3x = 3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -13 + 3x + x = 3 + -1x + x Combine like terms: 3x + x = 4x -13 + 4x = 3 + -1x + x Combine like terms: -1x + x = 0 -13 + 4x = 3 + 0 -13 + 4x = 3 Add '13' to each side of the equation. -13 + 13 + 4x = 3 + 13 Combine like terms: -13 + 13 = 0 0 + 4x = 3 + 13 4x = 3 + 13 Combine like terms: 3 + 13 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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