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Simplifying 3(2x + 1) + -2(x + -4) = 6x + 7 Reorder the terms: 3(1 + 2x) + -2(x + -4) = 6x + 7 (1 * 3 + 2x * 3) + -2(x + -4) = 6x + 7 (3 + 6x) + -2(x + -4) = 6x + 7 Reorder the terms: 3 + 6x + -2(-4 + x) = 6x + 7 3 + 6x + (-4 * -2 + x * -2) = 6x + 7 3 + 6x + (8 + -2x) = 6x + 7 Reorder the terms: 3 + 8 + 6x + -2x = 6x + 7 Combine like terms: 3 + 8 = 11 11 + 6x + -2x = 6x + 7 Combine like terms: 6x + -2x = 4x 11 + 4x = 6x + 7 Reorder the terms: 11 + 4x = 7 + 6x Solving 11 + 4x = 7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 11 + 4x + -6x = 7 + 6x + -6x Combine like terms: 4x + -6x = -2x 11 + -2x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 11 + -2x = 7 + 0 11 + -2x = 7 Add '-11' to each side of the equation. 11 + -11 + -2x = 7 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = 7 + -11 -2x = 7 + -11 Combine like terms: 7 + -11 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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