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Simplifying 4(x + 3) + 3 = 5(x + 5) + 3 Reorder the terms: 4(3 + x) + 3 = 5(x + 5) + 3 (3 * 4 + x * 4) + 3 = 5(x + 5) + 3 (12 + 4x) + 3 = 5(x + 5) + 3 Reorder the terms: 12 + 3 + 4x = 5(x + 5) + 3 Combine like terms: 12 + 3 = 15 15 + 4x = 5(x + 5) + 3 Reorder the terms: 15 + 4x = 5(5 + x) + 3 15 + 4x = (5 * 5 + x * 5) + 3 15 + 4x = (25 + 5x) + 3 Reorder the terms: 15 + 4x = 25 + 3 + 5x Combine like terms: 25 + 3 = 28 15 + 4x = 28 + 5x Solving 15 + 4x = 28 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 15 + 4x + -5x = 28 + 5x + -5x Combine like terms: 4x + -5x = -1x 15 + -1x = 28 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + -1x = 28 + 0 15 + -1x = 28 Add '-15' to each side of the equation. 15 + -15 + -1x = 28 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 28 + -15 -1x = 28 + -15 Combine like terms: 28 + -15 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13
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