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Simplifying 5x + 2(3 + -2x) = 4x + -12 5x + (3 * 2 + -2x * 2) = 4x + -12 5x + (6 + -4x) = 4x + -12 Reorder the terms: 6 + 5x + -4x = 4x + -12 Combine like terms: 5x + -4x = 1x 6 + 1x = 4x + -12 Reorder the terms: 6 + 1x = -12 + 4x Solving 6 + 1x = -12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + 1x + -4x = -12 + 4x + -4x Combine like terms: 1x + -4x = -3x 6 + -3x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -3x = -12 + 0 6 + -3x = -12 Add '-6' to each side of the equation. 6 + -6 + -3x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = -12 + -6 -3x = -12 + -6 Combine like terms: -12 + -6 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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