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Simplifying 3(x + 5) + 4 = 2(x + 1) + 4 Reorder the terms: 3(5 + x) + 4 = 2(x + 1) + 4 (5 * 3 + x * 3) + 4 = 2(x + 1) + 4 (15 + 3x) + 4 = 2(x + 1) + 4 Reorder the terms: 15 + 4 + 3x = 2(x + 1) + 4 Combine like terms: 15 + 4 = 19 19 + 3x = 2(x + 1) + 4 Reorder the terms: 19 + 3x = 2(1 + x) + 4 19 + 3x = (1 * 2 + x * 2) + 4 19 + 3x = (2 + 2x) + 4 Reorder the terms: 19 + 3x = 2 + 4 + 2x Combine like terms: 2 + 4 = 6 19 + 3x = 6 + 2x Solving 19 + 3x = 6 + 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. 19 + 3x + -2x = 6 + 2x + -2x Combine like terms: 3x + -2x = 1x 19 + 1x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 19 + 1x = 6 + 0 19 + 1x = 6 Add '-19' to each side of the equation. 19 + -19 + 1x = 6 + -19 Combine like terms: 19 + -19 = 0 0 + 1x = 6 + -19 1x = 6 + -19 Combine like terms: 6 + -19 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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