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Simplifying 3(x + 2) + -2 = 7(x + 1) + -4 Reorder the terms: 3(2 + x) + -2 = 7(x + 1) + -4 (2 * 3 + x * 3) + -2 = 7(x + 1) + -4 (6 + 3x) + -2 = 7(x + 1) + -4 Reorder the terms: 6 + -2 + 3x = 7(x + 1) + -4 Combine like terms: 6 + -2 = 4 4 + 3x = 7(x + 1) + -4 Reorder the terms: 4 + 3x = 7(1 + x) + -4 4 + 3x = (1 * 7 + x * 7) + -4 4 + 3x = (7 + 7x) + -4 Reorder the terms: 4 + 3x = 7 + -4 + 7x Combine like terms: 7 + -4 = 3 4 + 3x = 3 + 7x Solving 4 + 3x = 3 + 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. 4 + 3x + -7x = 3 + 7x + -7x Combine like terms: 3x + -7x = -4x 4 + -4x = 3 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -4x = 3 + 0 4 + -4x = 3 Add '-4' to each side of the equation. 4 + -4 + -4x = 3 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = 3 + -4 -4x = 3 + -4 Combine like terms: 3 + -4 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25
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