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Simplifying 4(x + 7) + 5(3x + 3) = 5 Reorder the terms: 4(7 + x) + 5(3x + 3) = 5 (7 * 4 + x * 4) + 5(3x + 3) = 5 (28 + 4x) + 5(3x + 3) = 5 Reorder the terms: 28 + 4x + 5(3 + 3x) = 5 28 + 4x + (3 * 5 + 3x * 5) = 5 28 + 4x + (15 + 15x) = 5 Reorder the terms: 28 + 15 + 4x + 15x = 5 Combine like terms: 28 + 15 = 43 43 + 4x + 15x = 5 Combine like terms: 4x + 15x = 19x 43 + 19x = 5 Solving 43 + 19x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 19x = 5 + -43 Combine like terms: 43 + -43 = 0 0 + 19x = 5 + -43 19x = 5 + -43 Combine like terms: 5 + -43 = -38 19x = -38 Divide each side by '19'. x = -2 Simplifying x = -2
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