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Simplifying 5(x + 9) + -3 = 4x + 4 Reorder the terms: 5(9 + x) + -3 = 4x + 4 (9 * 5 + x * 5) + -3 = 4x + 4 (45 + 5x) + -3 = 4x + 4 Reorder the terms: 45 + -3 + 5x = 4x + 4 Combine like terms: 45 + -3 = 42 42 + 5x = 4x + 4 Reorder the terms: 42 + 5x = 4 + 4x Solving 42 + 5x = 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. 42 + 5x + -4x = 4 + 4x + -4x Combine like terms: 5x + -4x = 1x 42 + 1x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 42 + 1x = 4 + 0 42 + 1x = 4 Add '-42' to each side of the equation. 42 + -42 + 1x = 4 + -42 Combine like terms: 42 + -42 = 0 0 + 1x = 4 + -42 1x = 4 + -42 Combine like terms: 4 + -42 = -38 1x = -38 Divide each side by '1'. x = -38 Simplifying x = -38
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