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Simplifying 4(x + 1) = 25 + 3(x + -3) Reorder the terms: 4(1 + x) = 25 + 3(x + -3) (1 * 4 + x * 4) = 25 + 3(x + -3) (4 + 4x) = 25 + 3(x + -3) Reorder the terms: 4 + 4x = 25 + 3(-3 + x) 4 + 4x = 25 + (-3 * 3 + x * 3) 4 + 4x = 25 + (-9 + 3x) Combine like terms: 25 + -9 = 16 4 + 4x = 16 + 3x Solving 4 + 4x = 16 + 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. 4 + 4x + -3x = 16 + 3x + -3x Combine like terms: 4x + -3x = 1x 4 + 1x = 16 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 1x = 16 + 0 4 + 1x = 16 Add '-4' to each side of the equation. 4 + -4 + 1x = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 16 + -4 1x = 16 + -4 Combine like terms: 16 + -4 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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