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Simplifying 6(3x + -5) = 2(5x + -3) Reorder the terms: 6(-5 + 3x) = 2(5x + -3) (-5 * 6 + 3x * 6) = 2(5x + -3) (-30 + 18x) = 2(5x + -3) Reorder the terms: -30 + 18x = 2(-3 + 5x) -30 + 18x = (-3 * 2 + 5x * 2) -30 + 18x = (-6 + 10x) Solving -30 + 18x = -6 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -30 + 18x + -10x = -6 + 10x + -10x Combine like terms: 18x + -10x = 8x -30 + 8x = -6 + 10x + -10x Combine like terms: 10x + -10x = 0 -30 + 8x = -6 + 0 -30 + 8x = -6 Add '30' to each side of the equation. -30 + 30 + 8x = -6 + 30 Combine like terms: -30 + 30 = 0 0 + 8x = -6 + 30 8x = -6 + 30 Combine like terms: -6 + 30 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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