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Simplifying 3(x + 2) = 7(x + -1) + 11 Reorder the terms: 3(2 + x) = 7(x + -1) + 11 (2 * 3 + x * 3) = 7(x + -1) + 11 (6 + 3x) = 7(x + -1) + 11 Reorder the terms: 6 + 3x = 7(-1 + x) + 11 6 + 3x = (-1 * 7 + x * 7) + 11 6 + 3x = (-7 + 7x) + 11 Reorder the terms: 6 + 3x = -7 + 11 + 7x Combine like terms: -7 + 11 = 4 6 + 3x = 4 + 7x Solving 6 + 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. 6 + 3x + -7x = 4 + 7x + -7x Combine like terms: 3x + -7x = -4x 6 + -4x = 4 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -4x = 4 + 0 6 + -4x = 4 Add '-6' to each side of the equation. 6 + -6 + -4x = 4 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = 4 + -6 -4x = 4 + -6 Combine like terms: 4 + -6 = -2 -4x = -2 Divide each side by '-4'. x = 0.5 Simplifying x = 0.5
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