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Simplifying x + 3(x + 4) = 5(x + 2) + -5 Reorder the terms: x + 3(4 + x) = 5(x + 2) + -5 x + (4 * 3 + x * 3) = 5(x + 2) + -5 x + (12 + 3x) = 5(x + 2) + -5 Reorder the terms: 12 + x + 3x = 5(x + 2) + -5 Combine like terms: x + 3x = 4x 12 + 4x = 5(x + 2) + -5 Reorder the terms: 12 + 4x = 5(2 + x) + -5 12 + 4x = (2 * 5 + x * 5) + -5 12 + 4x = (10 + 5x) + -5 Reorder the terms: 12 + 4x = 10 + -5 + 5x Combine like terms: 10 + -5 = 5 12 + 4x = 5 + 5x Solving 12 + 4x = 5 + 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. 12 + 4x + -5x = 5 + 5x + -5x Combine like terms: 4x + -5x = -1x 12 + -1x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -1x = 5 + 0 12 + -1x = 5 Add '-12' to each side of the equation. 12 + -12 + -1x = 5 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 5 + -12 -1x = 5 + -12 Combine like terms: 5 + -12 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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