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Simplifying 3(x + -5) + 2 = 1 + -1(4 + 2x) Reorder the terms: 3(-5 + x) + 2 = 1 + -1(4 + 2x) (-5 * 3 + x * 3) + 2 = 1 + -1(4 + 2x) (-15 + 3x) + 2 = 1 + -1(4 + 2x) Reorder the terms: -15 + 2 + 3x = 1 + -1(4 + 2x) Combine like terms: -15 + 2 = -13 -13 + 3x = 1 + -1(4 + 2x) -13 + 3x = 1 + (4 * -1 + 2x * -1) -13 + 3x = 1 + (-4 + -2x) Combine like terms: 1 + -4 = -3 -13 + 3x = -3 + -2x Solving -13 + 3x = -3 + -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. -13 + 3x + 2x = -3 + -2x + 2x Combine like terms: 3x + 2x = 5x -13 + 5x = -3 + -2x + 2x Combine like terms: -2x + 2x = 0 -13 + 5x = -3 + 0 -13 + 5x = -3 Add '13' to each side of the equation. -13 + 13 + 5x = -3 + 13 Combine like terms: -13 + 13 = 0 0 + 5x = -3 + 13 5x = -3 + 13 Combine like terms: -3 + 13 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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