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Simplifying 7[2x + 5] + -5[2x + -2] = 135 Reorder the terms: 7[5 + 2x] + -5[2x + -2] = 135 [5 * 7 + 2x * 7] + -5[2x + -2] = 135 [35 + 14x] + -5[2x + -2] = 135 Reorder the terms: 35 + 14x + -5[-2 + 2x] = 135 35 + 14x + [-2 * -5 + 2x * -5] = 135 35 + 14x + [10 + -10x] = 135 Reorder the terms: 35 + 10 + 14x + -10x = 135 Combine like terms: 35 + 10 = 45 45 + 14x + -10x = 135 Combine like terms: 14x + -10x = 4x 45 + 4x = 135 Solving 45 + 4x = 135 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 4x = 135 + -45 Combine like terms: 45 + -45 = 0 0 + 4x = 135 + -45 4x = 135 + -45 Combine like terms: 135 + -45 = 90 4x = 90 Divide each side by '4'. x = 22.5 Simplifying x = 22.5
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