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Simplifying x + 2(x + 7) = 3x + -5(2x + 1) Reorder the terms: x + 2(7 + x) = 3x + -5(2x + 1) x + (7 * 2 + x * 2) = 3x + -5(2x + 1) x + (14 + 2x) = 3x + -5(2x + 1) Reorder the terms: 14 + x + 2x = 3x + -5(2x + 1) Combine like terms: x + 2x = 3x 14 + 3x = 3x + -5(2x + 1) Reorder the terms: 14 + 3x = 3x + -5(1 + 2x) 14 + 3x = 3x + (1 * -5 + 2x * -5) 14 + 3x = 3x + (-5 + -10x) Reorder the terms: 14 + 3x = -5 + 3x + -10x Combine like terms: 3x + -10x = -7x 14 + 3x = -5 + -7x Solving 14 + 3x = -5 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 14 + 3x + 7x = -5 + -7x + 7x Combine like terms: 3x + 7x = 10x 14 + 10x = -5 + -7x + 7x Combine like terms: -7x + 7x = 0 14 + 10x = -5 + 0 14 + 10x = -5 Add '-14' to each side of the equation. 14 + -14 + 10x = -5 + -14 Combine like terms: 14 + -14 = 0 0 + 10x = -5 + -14 10x = -5 + -14 Combine like terms: -5 + -14 = -19 10x = -19 Divide each side by '10'. x = -1.9 Simplifying x = -1.9
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