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Simplifying 4(x + 1) + 10 = 3x + 9 Reorder the terms: 4(1 + x) + 10 = 3x + 9 (1 * 4 + x * 4) + 10 = 3x + 9 (4 + 4x) + 10 = 3x + 9 Reorder the terms: 4 + 10 + 4x = 3x + 9 Combine like terms: 4 + 10 = 14 14 + 4x = 3x + 9 Reorder the terms: 14 + 4x = 9 + 3x Solving 14 + 4x = 9 + 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. 14 + 4x + -3x = 9 + 3x + -3x Combine like terms: 4x + -3x = 1x 14 + 1x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + 1x = 9 + 0 14 + 1x = 9 Add '-14' to each side of the equation. 14 + -14 + 1x = 9 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 9 + -14 1x = 9 + -14 Combine like terms: 9 + -14 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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