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Simplifying 2(3x + 4) = 3(x + -4) + 2 Reorder the terms: 2(4 + 3x) = 3(x + -4) + 2 (4 * 2 + 3x * 2) = 3(x + -4) + 2 (8 + 6x) = 3(x + -4) + 2 Reorder the terms: 8 + 6x = 3(-4 + x) + 2 8 + 6x = (-4 * 3 + x * 3) + 2 8 + 6x = (-12 + 3x) + 2 Reorder the terms: 8 + 6x = -12 + 2 + 3x Combine like terms: -12 + 2 = -10 8 + 6x = -10 + 3x Solving 8 + 6x = -10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + 6x + -3x = -10 + 3x + -3x Combine like terms: 6x + -3x = 3x 8 + 3x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 3x = -10 + 0 8 + 3x = -10 Add '-8' to each side of the equation. 8 + -8 + 3x = -10 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = -10 + -8 3x = -10 + -8 Combine like terms: -10 + -8 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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