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Simplifying -4 + 5(x + 1) = 2x + 3 Reorder the terms: -4 + 5(1 + x) = 2x + 3 -4 + (1 * 5 + x * 5) = 2x + 3 -4 + (5 + 5x) = 2x + 3 Combine like terms: -4 + 5 = 1 1 + 5x = 2x + 3 Reorder the terms: 1 + 5x = 3 + 2x Solving 1 + 5x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1 + 5x + -2x = 3 + 2x + -2x Combine like terms: 5x + -2x = 3x 1 + 3x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 3x = 3 + 0 1 + 3x = 3 Add '-1' to each side of the equation. 1 + -1 + 3x = 3 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 3 + -1 3x = 3 + -1 Combine like terms: 3 + -1 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667
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