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Simplifying 2(x + 5) + -7x = 2(x + 3) + x Reorder the terms: 2(5 + x) + -7x = 2(x + 3) + x (5 * 2 + x * 2) + -7x = 2(x + 3) + x (10 + 2x) + -7x = 2(x + 3) + x Combine like terms: 2x + -7x = -5x 10 + -5x = 2(x + 3) + x Reorder the terms: 10 + -5x = 2(3 + x) + x 10 + -5x = (3 * 2 + x * 2) + x 10 + -5x = (6 + 2x) + x Combine like terms: 2x + x = 3x 10 + -5x = 6 + 3x Solving 10 + -5x = 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. 10 + -5x + -3x = 6 + 3x + -3x Combine like terms: -5x + -3x = -8x 10 + -8x = 6 + 3x + -3x Combine like terms: 3x + -3x = 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 = -4 -8x = -4 Divide each side by '-8'. x = 0.5 Simplifying x = 0.5
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