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Simplifying 3(2x + -5) + -2 = 2(x + -2) Reorder the terms: 3(-5 + 2x) + -2 = 2(x + -2) (-5 * 3 + 2x * 3) + -2 = 2(x + -2) (-15 + 6x) + -2 = 2(x + -2) Reorder the terms: -15 + -2 + 6x = 2(x + -2) Combine like terms: -15 + -2 = -17 -17 + 6x = 2(x + -2) Reorder the terms: -17 + 6x = 2(-2 + x) -17 + 6x = (-2 * 2 + x * 2) -17 + 6x = (-4 + 2x) Solving -17 + 6x = -4 + 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. -17 + 6x + -2x = -4 + 2x + -2x Combine like terms: 6x + -2x = 4x -17 + 4x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -17 + 4x = -4 + 0 -17 + 4x = -4 Add '17' to each side of the equation. -17 + 17 + 4x = -4 + 17 Combine like terms: -17 + 17 = 0 0 + 4x = -4 + 17 4x = -4 + 17 Combine like terms: -4 + 17 = 13 4x = 13 Divide each side by '4'. x = 3.25 Simplifying x = 3.25
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