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Simplifying x + 2 = 5(3x + 2) + 2x Reorder the terms: 2 + x = 5(3x + 2) + 2x Reorder the terms: 2 + x = 5(2 + 3x) + 2x 2 + x = (2 * 5 + 3x * 5) + 2x 2 + x = (10 + 15x) + 2x Combine like terms: 15x + 2x = 17x 2 + x = 10 + 17x Solving 2 + x = 10 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 2 + x + -17x = 10 + 17x + -17x Combine like terms: x + -17x = -16x 2 + -16x = 10 + 17x + -17x Combine like terms: 17x + -17x = 0 2 + -16x = 10 + 0 2 + -16x = 10 Add '-2' to each side of the equation. 2 + -2 + -16x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -16x = 10 + -2 -16x = 10 + -2 Combine like terms: 10 + -2 = 8 -16x = 8 Divide each side by '-16'. x = -0.5 Simplifying x = -0.5
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