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Simplifying 5(x + 3) + -1(4x + 7) = 3 Reorder the terms: 5(3 + x) + -1(4x + 7) = 3 (3 * 5 + x * 5) + -1(4x + 7) = 3 (15 + 5x) + -1(4x + 7) = 3 Reorder the terms: 15 + 5x + -1(7 + 4x) = 3 15 + 5x + (7 * -1 + 4x * -1) = 3 15 + 5x + (-7 + -4x) = 3 Reorder the terms: 15 + -7 + 5x + -4x = 3 Combine like terms: 15 + -7 = 8 8 + 5x + -4x = 3 Combine like terms: 5x + -4x = 1x 8 + 1x = 3 Solving 8 + 1x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 1x = 3 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 3 + -8 1x = 3 + -8 Combine like terms: 3 + -8 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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