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Simplifying 5(2x + 2) = 3(4x + -1) Reorder the terms: 5(2 + 2x) = 3(4x + -1) (2 * 5 + 2x * 5) = 3(4x + -1) (10 + 10x) = 3(4x + -1) Reorder the terms: 10 + 10x = 3(-1 + 4x) 10 + 10x = (-1 * 3 + 4x * 3) 10 + 10x = (-3 + 12x) Solving 10 + 10x = -3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 10 + 10x + -12x = -3 + 12x + -12x Combine like terms: 10x + -12x = -2x 10 + -2x = -3 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + -2x = -3 + 0 10 + -2x = -3 Add '-10' to each side of the equation. 10 + -10 + -2x = -3 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = -3 + -10 -2x = -3 + -10 Combine like terms: -3 + -10 = -13 -2x = -13 Divide each side by '-2'. x = 6.5 Simplifying x = 6.5
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