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Simplifying 2(2x + 3) = 3(x + -4) Reorder the terms: 2(3 + 2x) = 3(x + -4) (3 * 2 + 2x * 2) = 3(x + -4) (6 + 4x) = 3(x + -4) Reorder the terms: 6 + 4x = 3(-4 + x) 6 + 4x = (-4 * 3 + x * 3) 6 + 4x = (-12 + 3x) Solving 6 + 4x = -12 + 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. 6 + 4x + -3x = -12 + 3x + -3x Combine like terms: 4x + -3x = 1x 6 + 1x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 1x = -12 + 0 6 + 1x = -12 Add '-6' to each side of the equation. 6 + -6 + 1x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = -12 + -6 1x = -12 + -6 Combine like terms: -12 + -6 = -18 1x = -18 Divide each side by '1'. x = -18 Simplifying x = -18
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