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Simplifying 2(7 + -6x + -2x) + 5(3x + 2) = 20 Combine like terms: -6x + -2x = -8x 2(7 + -8x) + 5(3x + 2) = 20 (7 * 2 + -8x * 2) + 5(3x + 2) = 20 (14 + -16x) + 5(3x + 2) = 20 Reorder the terms: 14 + -16x + 5(2 + 3x) = 20 14 + -16x + (2 * 5 + 3x * 5) = 20 14 + -16x + (10 + 15x) = 20 Reorder the terms: 14 + 10 + -16x + 15x = 20 Combine like terms: 14 + 10 = 24 24 + -16x + 15x = 20 Combine like terms: -16x + 15x = -1x 24 + -1x = 20 Solving 24 + -1x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1x = 20 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 20 + -24 -1x = 20 + -24 Combine like terms: 20 + -24 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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