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Simplifying 4(x + 3) = 5x + -2 Reorder the terms: 4(3 + x) = 5x + -2 (3 * 4 + x * 4) = 5x + -2 (12 + 4x) = 5x + -2 Reorder the terms: 12 + 4x = -2 + 5x Solving 12 + 4x = -2 + 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. 12 + 4x + -5x = -2 + 5x + -5x Combine like terms: 4x + -5x = -1x 12 + -1x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -1x = -2 + 0 12 + -1x = -2 Add '-12' to each side of the equation. 12 + -12 + -1x = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = -2 + -12 -1x = -2 + -12 Combine like terms: -2 + -12 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14
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