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Simplifying 3(2x + -5) + 3 = 2(2x + -1) Reorder the terms: 3(-5 + 2x) + 3 = 2(2x + -1) (-5 * 3 + 2x * 3) + 3 = 2(2x + -1) (-15 + 6x) + 3 = 2(2x + -1) Reorder the terms: -15 + 3 + 6x = 2(2x + -1) Combine like terms: -15 + 3 = -12 -12 + 6x = 2(2x + -1) Reorder the terms: -12 + 6x = 2(-1 + 2x) -12 + 6x = (-1 * 2 + 2x * 2) -12 + 6x = (-2 + 4x) Solving -12 + 6x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + 6x + -4x = -2 + 4x + -4x Combine like terms: 6x + -4x = 2x -12 + 2x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 2x = -2 + 0 -12 + 2x = -2 Add '12' to each side of the equation. -12 + 12 + 2x = -2 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = -2 + 12 2x = -2 + 12 Combine like terms: -2 + 12 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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