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Simplifying 2(4 + -7x + -5x) + 6(3x + 9) = 20 Combine like terms: -7x + -5x = -12x 2(4 + -12x) + 6(3x + 9) = 20 (4 * 2 + -12x * 2) + 6(3x + 9) = 20 (8 + -24x) + 6(3x + 9) = 20 Reorder the terms: 8 + -24x + 6(9 + 3x) = 20 8 + -24x + (9 * 6 + 3x * 6) = 20 8 + -24x + (54 + 18x) = 20 Reorder the terms: 8 + 54 + -24x + 18x = 20 Combine like terms: 8 + 54 = 62 62 + -24x + 18x = 20 Combine like terms: -24x + 18x = -6x 62 + -6x = 20 Solving 62 + -6x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-62' to each side of the equation. 62 + -62 + -6x = 20 + -62 Combine like terms: 62 + -62 = 0 0 + -6x = 20 + -62 -6x = 20 + -62 Combine like terms: 20 + -62 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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