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Simplifying 3(2x + -5) = 3 + -4(x + 2) Reorder the terms: 3(-5 + 2x) = 3 + -4(x + 2) (-5 * 3 + 2x * 3) = 3 + -4(x + 2) (-15 + 6x) = 3 + -4(x + 2) Reorder the terms: -15 + 6x = 3 + -4(2 + x) -15 + 6x = 3 + (2 * -4 + x * -4) -15 + 6x = 3 + (-8 + -4x) Combine like terms: 3 + -8 = -5 -15 + 6x = -5 + -4x Solving -15 + 6x = -5 + -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. -15 + 6x + 4x = -5 + -4x + 4x Combine like terms: 6x + 4x = 10x -15 + 10x = -5 + -4x + 4x Combine like terms: -4x + 4x = 0 -15 + 10x = -5 + 0 -15 + 10x = -5 Add '15' to each side of the equation. -15 + 15 + 10x = -5 + 15 Combine like terms: -15 + 15 = 0 0 + 10x = -5 + 15 10x = -5 + 15 Combine like terms: -5 + 15 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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