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Simplifying 4 + 2x = 4(x + 1) + 5 Reorder the terms: 4 + 2x = 4(1 + x) + 5 4 + 2x = (1 * 4 + x * 4) + 5 4 + 2x = (4 + 4x) + 5 Reorder the terms: 4 + 2x = 4 + 5 + 4x Combine like terms: 4 + 5 = 9 4 + 2x = 9 + 4x Solving 4 + 2x = 9 + 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. 4 + 2x + -4x = 9 + 4x + -4x Combine like terms: 2x + -4x = -2x 4 + -2x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -2x = 9 + 0 4 + -2x = 9 Add '-4' to each side of the equation. 4 + -4 + -2x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 9 + -4 -2x = 9 + -4 Combine like terms: 9 + -4 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5
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