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Simplifying 70 = 2(2x + 1) + 2(x + 4) Reorder the terms: 70 = 2(1 + 2x) + 2(x + 4) 70 = (1 * 2 + 2x * 2) + 2(x + 4) 70 = (2 + 4x) + 2(x + 4) Reorder the terms: 70 = 2 + 4x + 2(4 + x) 70 = 2 + 4x + (4 * 2 + x * 2) 70 = 2 + 4x + (8 + 2x) Reorder the terms: 70 = 2 + 8 + 4x + 2x Combine like terms: 2 + 8 = 10 70 = 10 + 4x + 2x Combine like terms: 4x + 2x = 6x 70 = 10 + 6x Solving 70 = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 70 + -6x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 70 + -6x = 10 + 0 70 + -6x = 10 Add '-70' to each side of the equation. 70 + -70 + -6x = 10 + -70 Combine like terms: 70 + -70 = 0 0 + -6x = 10 + -70 -6x = 10 + -70 Combine like terms: 10 + -70 = -60 -6x = -60 Divide each side by '-6'. x = 10 Simplifying x = 10
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