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