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Simplifying 2 + 3(x + 5) = 4(x + -1) Reorder the terms: 2 + 3(5 + x) = 4(x + -1) 2 + (5 * 3 + x * 3) = 4(x + -1) 2 + (15 + 3x) = 4(x + -1) Combine like terms: 2 + 15 = 17 17 + 3x = 4(x + -1) Reorder the terms: 17 + 3x = 4(-1 + x) 17 + 3x = (-1 * 4 + x * 4) 17 + 3x = (-4 + 4x) Solving 17 + 3x = -4 + 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. 17 + 3x + -4x = -4 + 4x + -4x Combine like terms: 3x + -4x = -1x 17 + -1x = -4 + 4x + -4x Combine like terms: 4x + -4x = 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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