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Simplifying 3 + 2(x + 5) = 3(x + -2) Reorder the terms: 3 + 2(5 + x) = 3(x + -2) 3 + (5 * 2 + x * 2) = 3(x + -2) 3 + (10 + 2x) = 3(x + -2) Combine like terms: 3 + 10 = 13 13 + 2x = 3(x + -2) Reorder the terms: 13 + 2x = 3(-2 + x) 13 + 2x = (-2 * 3 + x * 3) 13 + 2x = (-6 + 3x) Solving 13 + 2x = -6 + 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. 13 + 2x + -3x = -6 + 3x + -3x Combine like terms: 2x + -3x = -1x 13 + -1x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 13 + -1x = -6 + 0 13 + -1x = -6 Add '-13' to each side of the equation. 13 + -13 + -1x = -6 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = -6 + -13 -1x = -6 + -13 Combine like terms: -6 + -13 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19
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