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Simplifying 4x + 3 = 3(x + 5) + -2 Reorder the terms: 3 + 4x = 3(x + 5) + -2 Reorder the terms: 3 + 4x = 3(5 + x) + -2 3 + 4x = (5 * 3 + x * 3) + -2 3 + 4x = (15 + 3x) + -2 Reorder the terms: 3 + 4x = 15 + -2 + 3x Combine like terms: 15 + -2 = 13 3 + 4x = 13 + 3x Solving 3 + 4x = 13 + 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. 3 + 4x + -3x = 13 + 3x + -3x Combine like terms: 4x + -3x = 1x 3 + 1x = 13 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + 1x = 13 + 0 3 + 1x = 13 Add '-3' to each side of the equation. 3 + -3 + 1x = 13 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 13 + -3 1x = 13 + -3 Combine like terms: 13 + -3 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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