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Simplifying 4(x + -1) + 7x = 2x + 14 Reorder the terms: 4(-1 + x) + 7x = 2x + 14 (-1 * 4 + x * 4) + 7x = 2x + 14 (-4 + 4x) + 7x = 2x + 14 Combine like terms: 4x + 7x = 11x -4 + 11x = 2x + 14 Reorder the terms: -4 + 11x = 14 + 2x Solving -4 + 11x = 14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -4 + 11x + -2x = 14 + 2x + -2x Combine like terms: 11x + -2x = 9x -4 + 9x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 9x = 14 + 0 -4 + 9x = 14 Add '4' to each side of the equation. -4 + 4 + 9x = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 9x = 14 + 4 9x = 14 + 4 Combine like terms: 14 + 4 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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