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Simplifying x + 3(x + 2) = 5(x + 3) + -5 Reorder the terms: x + 3(2 + x) = 5(x + 3) + -5 x + (2 * 3 + x * 3) = 5(x + 3) + -5 x + (6 + 3x) = 5(x + 3) + -5 Reorder the terms: 6 + x + 3x = 5(x + 3) + -5 Combine like terms: x + 3x = 4x 6 + 4x = 5(x + 3) + -5 Reorder the terms: 6 + 4x = 5(3 + x) + -5 6 + 4x = (3 * 5 + x * 5) + -5 6 + 4x = (15 + 5x) + -5 Reorder the terms: 6 + 4x = 15 + -5 + 5x Combine like terms: 15 + -5 = 10 6 + 4x = 10 + 5x Solving 6 + 4x = 10 + 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. 6 + 4x + -5x = 10 + 5x + -5x Combine like terms: 4x + -5x = -1x 6 + -1x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -1x = 10 + 0 6 + -1x = 10 Add '-6' to each side of the equation. 6 + -6 + -1x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 10 + -6 -1x = 10 + -6 Combine like terms: 10 + -6 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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