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Simplifying 5(2x + 2) = 3(3x + -1) + 3(3x + -1) Reorder the terms: 5(2 + 2x) = 3(3x + -1) + 3(3x + -1) (2 * 5 + 2x * 5) = 3(3x + -1) + 3(3x + -1) (10 + 10x) = 3(3x + -1) + 3(3x + -1) Reorder the terms: 10 + 10x = 3(-1 + 3x) + 3(3x + -1) 10 + 10x = (-1 * 3 + 3x * 3) + 3(3x + -1) 10 + 10x = (-3 + 9x) + 3(3x + -1) Reorder the terms: 10 + 10x = -3 + 9x + 3(-1 + 3x) 10 + 10x = -3 + 9x + (-1 * 3 + 3x * 3) 10 + 10x = -3 + 9x + (-3 + 9x) Reorder the terms: 10 + 10x = -3 + -3 + 9x + 9x Combine like terms: -3 + -3 = -6 10 + 10x = -6 + 9x + 9x Combine like terms: 9x + 9x = 18x 10 + 10x = -6 + 18x Solving 10 + 10x = -6 + 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 = -6 + 18x + -18x Combine like terms: 10x + -18x = -8x 10 + -8x = -6 + 18x + -18x Combine like terms: 18x + -18x = 0 10 + -8x = -6 + 0 10 + -8x = -6 Add '-10' to each side of the equation. 10 + -10 + -8x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = -6 + -10 -8x = -6 + -10 Combine like terms: -6 + -10 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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