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Simplifying 2(6x + -6) + 3 = 2(2x + 3) + 5 Reorder the terms: 2(-6 + 6x) + 3 = 2(2x + 3) + 5 (-6 * 2 + 6x * 2) + 3 = 2(2x + 3) + 5 (-12 + 12x) + 3 = 2(2x + 3) + 5 Reorder the terms: -12 + 3 + 12x = 2(2x + 3) + 5 Combine like terms: -12 + 3 = -9 -9 + 12x = 2(2x + 3) + 5 Reorder the terms: -9 + 12x = 2(3 + 2x) + 5 -9 + 12x = (3 * 2 + 2x * 2) + 5 -9 + 12x = (6 + 4x) + 5 Reorder the terms: -9 + 12x = 6 + 5 + 4x Combine like terms: 6 + 5 = 11 -9 + 12x = 11 + 4x Solving -9 + 12x = 11 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -9 + 12x + -4x = 11 + 4x + -4x Combine like terms: 12x + -4x = 8x -9 + 8x = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + 8x = 11 + 0 -9 + 8x = 11 Add '9' to each side of the equation. -9 + 9 + 8x = 11 + 9 Combine like terms: -9 + 9 = 0 0 + 8x = 11 + 9 8x = 11 + 9 Combine like terms: 11 + 9 = 20 8x = 20 Divide each side by '8'. x = 2.5 Simplifying x = 2.5
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