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Simplifying 4(x + 1) = 5x + 3x + 9 Reorder the terms: 4(1 + x) = 5x + 3x + 9 (1 * 4 + x * 4) = 5x + 3x + 9 (4 + 4x) = 5x + 3x + 9 Reorder the terms: 4 + 4x = 9 + 5x + 3x Combine like terms: 5x + 3x = 8x 4 + 4x = 9 + 8x Solving 4 + 4x = 9 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + 4x + -8x = 9 + 8x + -8x Combine like terms: 4x + -8x = -4x 4 + -4x = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + -4x = 9 + 0 4 + -4x = 9 Add '-4' to each side of the equation. 4 + -4 + -4x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = 9 + -4 -4x = 9 + -4 Combine like terms: 9 + -4 = 5 -4x = 5 Divide each side by '-4'. x = -1.25 Simplifying x = -1.25
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