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Simplifying 3(x + -5) + 2 = 2(x + -4) Reorder the terms: 3(-5 + x) + 2 = 2(x + -4) (-5 * 3 + x * 3) + 2 = 2(x + -4) (-15 + 3x) + 2 = 2(x + -4) Reorder the terms: -15 + 2 + 3x = 2(x + -4) Combine like terms: -15 + 2 = -13 -13 + 3x = 2(x + -4) Reorder the terms: -13 + 3x = 2(-4 + x) -13 + 3x = (-4 * 2 + x * 2) -13 + 3x = (-8 + 2x) Solving -13 + 3x = -8 + 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 = -8 + 2x + -2x Combine like terms: 3x + -2x = 1x -13 + 1x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + 1x = -8 + 0 -13 + 1x = -8 Add '13' to each side of the equation. -13 + 13 + 1x = -8 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = -8 + 13 1x = -8 + 13 Combine like terms: -8 + 13 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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