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Simplifying 3(x + 2) + 2 = 5x + 2(x + -2) Reorder the terms: 3(2 + x) + 2 = 5x + 2(x + -2) (2 * 3 + x * 3) + 2 = 5x + 2(x + -2) (6 + 3x) + 2 = 5x + 2(x + -2) Reorder the terms: 6 + 2 + 3x = 5x + 2(x + -2) Combine like terms: 6 + 2 = 8 8 + 3x = 5x + 2(x + -2) Reorder the terms: 8 + 3x = 5x + 2(-2 + x) 8 + 3x = 5x + (-2 * 2 + x * 2) 8 + 3x = 5x + (-4 + 2x) Reorder the terms: 8 + 3x = -4 + 5x + 2x Combine like terms: 5x + 2x = 7x 8 + 3x = -4 + 7x Solving 8 + 3x = -4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8 + 3x + -7x = -4 + 7x + -7x Combine like terms: 3x + -7x = -4x 8 + -4x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + -4x = -4 + 0 8 + -4x = -4 Add '-8' to each side of the equation. 8 + -8 + -4x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = -4 + -8 -4x = -4 + -8 Combine like terms: -4 + -8 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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