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Simplifying 4(x + 3) = 2 + (x + 7) Reorder the terms: 4(3 + x) = 2 + (x + 7) (3 * 4 + x * 4) = 2 + (x + 7) (12 + 4x) = 2 + (x + 7) Reorder the terms: 12 + 4x = 2 + (7 + x) Remove parenthesis around (7 + x) 12 + 4x = 2 + 7 + x Combine like terms: 2 + 7 = 9 12 + 4x = 9 + x Solving 12 + 4x = 9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + 4x + -1x = 9 + x + -1x Combine like terms: 4x + -1x = 3x 12 + 3x = 9 + x + -1x Combine like terms: x + -1x = 0 12 + 3x = 9 + 0 12 + 3x = 9 Add '-12' to each side of the equation. 12 + -12 + 3x = 9 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 9 + -12 3x = 9 + -12 Combine like terms: 9 + -12 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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