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Simplifying 2(x + 6) + -3(2x + 1) = 6x + -2 Reorder the terms: 2(6 + x) + -3(2x + 1) = 6x + -2 (6 * 2 + x * 2) + -3(2x + 1) = 6x + -2 (12 + 2x) + -3(2x + 1) = 6x + -2 Reorder the terms: 12 + 2x + -3(1 + 2x) = 6x + -2 12 + 2x + (1 * -3 + 2x * -3) = 6x + -2 12 + 2x + (-3 + -6x) = 6x + -2 Reorder the terms: 12 + -3 + 2x + -6x = 6x + -2 Combine like terms: 12 + -3 = 9 9 + 2x + -6x = 6x + -2 Combine like terms: 2x + -6x = -4x 9 + -4x = 6x + -2 Reorder the terms: 9 + -4x = -2 + 6x Solving 9 + -4x = -2 + 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. 9 + -4x + -6x = -2 + 6x + -6x Combine like terms: -4x + -6x = -10x 9 + -10x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + -10x = -2 + 0 9 + -10x = -2 Add '-9' to each side of the equation. 9 + -9 + -10x = -2 + -9 Combine like terms: 9 + -9 = 0 0 + -10x = -2 + -9 -10x = -2 + -9 Combine like terms: -2 + -9 = -11 -10x = -11 Divide each side by '-10'. x = 1.1 Simplifying x = 1.1
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