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Simplifying 4x + -2(3x + -1) = 7x + 11 Reorder the terms: 4x + -2(-1 + 3x) = 7x + 11 4x + (-1 * -2 + 3x * -2) = 7x + 11 4x + (2 + -6x) = 7x + 11 Reorder the terms: 2 + 4x + -6x = 7x + 11 Combine like terms: 4x + -6x = -2x 2 + -2x = 7x + 11 Reorder the terms: 2 + -2x = 11 + 7x Solving 2 + -2x = 11 + 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. 2 + -2x + -7x = 11 + 7x + -7x Combine like terms: -2x + -7x = -9x 2 + -9x = 11 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -9x = 11 + 0 2 + -9x = 11 Add '-2' to each side of the equation. 2 + -2 + -9x = 11 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = 11 + -2 -9x = 11 + -2 Combine like terms: 11 + -2 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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