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Simplifying 2 + 2(x + 5) = 2(6x + 5) + -3(3x) Reorder the terms: 2 + 2(5 + x) = 2(6x + 5) + -3(3x) 2 + (5 * 2 + x * 2) = 2(6x + 5) + -3(3x) 2 + (10 + 2x) = 2(6x + 5) + -3(3x) Combine like terms: 2 + 10 = 12 12 + 2x = 2(6x + 5) + -3(3x) Reorder the terms: 12 + 2x = 2(5 + 6x) + -3(3x) 12 + 2x = (5 * 2 + 6x * 2) + -3(3x) 12 + 2x = (10 + 12x) + -3(3x) Remove parenthesis around (3x) 12 + 2x = 10 + 12x + -3 * 3x Multiply -3 * 3 12 + 2x = 10 + 12x + -9x Combine like terms: 12x + -9x = 3x 12 + 2x = 10 + 3x Solving 12 + 2x = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + 2x + -3x = 10 + 3x + -3x Combine like terms: 2x + -3x = -1x 12 + -1x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -1x = 10 + 0 12 + -1x = 10 Add '-12' to each side of the equation. 12 + -12 + -1x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 10 + -12 -1x = 10 + -12 Combine like terms: 10 + -12 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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