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Simplifying 3(x + 4) + x = 2(x + 4) + 7 Reorder the terms: 3(4 + x) + x = 2(x + 4) + 7 (4 * 3 + x * 3) + x = 2(x + 4) + 7 (12 + 3x) + x = 2(x + 4) + 7 Combine like terms: 3x + x = 4x 12 + 4x = 2(x + 4) + 7 Reorder the terms: 12 + 4x = 2(4 + x) + 7 12 + 4x = (4 * 2 + x * 2) + 7 12 + 4x = (8 + 2x) + 7 Reorder the terms: 12 + 4x = 8 + 7 + 2x Combine like terms: 8 + 7 = 15 12 + 4x = 15 + 2x Solving 12 + 4x = 15 + 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. 12 + 4x + -2x = 15 + 2x + -2x Combine like terms: 4x + -2x = 2x 12 + 2x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 2x = 15 + 0 12 + 2x = 15 Add '-12' to each side of the equation. 12 + -12 + 2x = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 15 + -12 2x = 15 + -12 Combine like terms: 15 + -12 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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