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Simplifying 2(x + 10) = 7(x + 2) + -4x Reorder the terms: 2(10 + x) = 7(x + 2) + -4x (10 * 2 + x * 2) = 7(x + 2) + -4x (20 + 2x) = 7(x + 2) + -4x Reorder the terms: 20 + 2x = 7(2 + x) + -4x 20 + 2x = (2 * 7 + x * 7) + -4x 20 + 2x = (14 + 7x) + -4x Combine like terms: 7x + -4x = 3x 20 + 2x = 14 + 3x Solving 20 + 2x = 14 + 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. 20 + 2x + -3x = 14 + 3x + -3x Combine like terms: 2x + -3x = -1x 20 + -1x = 14 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + -1x = 14 + 0 20 + -1x = 14 Add '-20' to each side of the equation. 20 + -20 + -1x = 14 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 14 + -20 -1x = 14 + -20 Combine like terms: 14 + -20 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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