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Simplifying 3(x + 4) + 5 = 2x + -4 Reorder the terms: 3(4 + x) + 5 = 2x + -4 (4 * 3 + x * 3) + 5 = 2x + -4 (12 + 3x) + 5 = 2x + -4 Reorder the terms: 12 + 5 + 3x = 2x + -4 Combine like terms: 12 + 5 = 17 17 + 3x = 2x + -4 Reorder the terms: 17 + 3x = -4 + 2x Solving 17 + 3x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 17 + 3x + -2x = -4 + 2x + -2x Combine like terms: 3x + -2x = 1x 17 + 1x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 17 + 1x = -4 + 0 17 + 1x = -4 Add '-17' to each side of the equation. 17 + -17 + 1x = -4 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = -4 + -17 1x = -4 + -17 Combine like terms: -4 + -17 = -21 1x = -21 Divide each side by '1'. x = -21 Simplifying x = -21
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