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Simplifying 2(x + 6) + 2x = 5(x + 1) * 3 Reorder the terms: 2(6 + x) + 2x = 5(x + 1) * 3 (6 * 2 + x * 2) + 2x = 5(x + 1) * 3 (12 + 2x) + 2x = 5(x + 1) * 3 Combine like terms: 2x + 2x = 4x 12 + 4x = 5(x + 1) * 3 Reorder the terms: 12 + 4x = 5(1 + x) * 3 Reorder the terms for easier multiplication: 12 + 4x = 5 * 3(1 + x) Multiply 5 * 3 12 + 4x = 15(1 + x) 12 + 4x = (1 * 15 + x * 15) 12 + 4x = (15 + 15x) Solving 12 + 4x = 15 + 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. 12 + 4x + -15x = 15 + 15x + -15x Combine like terms: 4x + -15x = -11x 12 + -11x = 15 + 15x + -15x Combine like terms: 15x + -15x = 0 12 + -11x = 15 + 0 12 + -11x = 15 Add '-12' to each side of the equation. 12 + -12 + -11x = 15 + -12 Combine like terms: 12 + -12 = 0 0 + -11x = 15 + -12 -11x = 15 + -12 Combine like terms: 15 + -12 = 3 -11x = 3 Divide each side by '-11'. x = -0.2727272727 Simplifying x = -0.2727272727
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