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Simplifying 2(x + 4) + -3(2x + -1) = 6x + 12 Reorder the terms: 2(4 + x) + -3(2x + -1) = 6x + 12 (4 * 2 + x * 2) + -3(2x + -1) = 6x + 12 (8 + 2x) + -3(2x + -1) = 6x + 12 Reorder the terms: 8 + 2x + -3(-1 + 2x) = 6x + 12 8 + 2x + (-1 * -3 + 2x * -3) = 6x + 12 8 + 2x + (3 + -6x) = 6x + 12 Reorder the terms: 8 + 3 + 2x + -6x = 6x + 12 Combine like terms: 8 + 3 = 11 11 + 2x + -6x = 6x + 12 Combine like terms: 2x + -6x = -4x 11 + -4x = 6x + 12 Reorder the terms: 11 + -4x = 12 + 6x Solving 11 + -4x = 12 + 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. 11 + -4x + -6x = 12 + 6x + -6x Combine like terms: -4x + -6x = -10x 11 + -10x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 11 + -10x = 12 + 0 11 + -10x = 12 Add '-11' to each side of the equation. 11 + -11 + -10x = 12 + -11 Combine like terms: 11 + -11 = 0 0 + -10x = 12 + -11 -10x = 12 + -11 Combine like terms: 12 + -11 = 1 -10x = 1 Divide each side by '-10'. x = -0.1 Simplifying x = -0.1
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