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Simplifying 6(x + 2) + -4(x + 3) = 2x + -3(1 + -1x) + 4 Reorder the terms: 6(2 + x) + -4(x + 3) = 2x + -3(1 + -1x) + 4 (2 * 6 + x * 6) + -4(x + 3) = 2x + -3(1 + -1x) + 4 (12 + 6x) + -4(x + 3) = 2x + -3(1 + -1x) + 4 Reorder the terms: 12 + 6x + -4(3 + x) = 2x + -3(1 + -1x) + 4 12 + 6x + (3 * -4 + x * -4) = 2x + -3(1 + -1x) + 4 12 + 6x + (-12 + -4x) = 2x + -3(1 + -1x) + 4 Reorder the terms: 12 + -12 + 6x + -4x = 2x + -3(1 + -1x) + 4 Combine like terms: 12 + -12 = 0 0 + 6x + -4x = 2x + -3(1 + -1x) + 4 6x + -4x = 2x + -3(1 + -1x) + 4 Combine like terms: 6x + -4x = 2x 2x = 2x + -3(1 + -1x) + 4 2x = 2x + (1 * -3 + -1x * -3) + 4 2x = 2x + (-3 + 3x) + 4 Reorder the terms: 2x = -3 + 4 + 2x + 3x Combine like terms: -3 + 4 = 1 2x = 1 + 2x + 3x Combine like terms: 2x + 3x = 5x 2x = 1 + 5x Solving 2x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2x + -5x = 1 + 5x + -5x Combine like terms: 2x + -5x = -3x -3x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -3x = 1 + 0 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333
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