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Simplifying 5(2x + 2) = 6(3x + -5) Reorder the terms: 5(2 + 2x) = 6(3x + -5) (2 * 5 + 2x * 5) = 6(3x + -5) (10 + 10x) = 6(3x + -5) Reorder the terms: 10 + 10x = 6(-5 + 3x) 10 + 10x = (-5 * 6 + 3x * 6) 10 + 10x = (-30 + 18x) Solving 10 + 10x = -30 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 10 + 10x + -18x = -30 + 18x + -18x Combine like terms: 10x + -18x = -8x 10 + -8x = -30 + 18x + -18x Combine like terms: 18x + -18x = 0 10 + -8x = -30 + 0 10 + -8x = -30 Add '-10' to each side of the equation. 10 + -10 + -8x = -30 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = -30 + -10 -8x = -30 + -10 Combine like terms: -30 + -10 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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