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Simplifying -4(x + 3) + 2x + 6 = 7x + 11 Reorder the terms: -4(3 + x) + 2x + 6 = 7x + 11 (3 * -4 + x * -4) + 2x + 6 = 7x + 11 (-12 + -4x) + 2x + 6 = 7x + 11 Reorder the terms: -12 + 6 + -4x + 2x = 7x + 11 Combine like terms: -12 + 6 = -6 -6 + -4x + 2x = 7x + 11 Combine like terms: -4x + 2x = -2x -6 + -2x = 7x + 11 Reorder the terms: -6 + -2x = 11 + 7x Solving -6 + -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. -6 + -2x + -7x = 11 + 7x + -7x Combine like terms: -2x + -7x = -9x -6 + -9x = 11 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -9x = 11 + 0 -6 + -9x = 11 Add '6' to each side of the equation. -6 + 6 + -9x = 11 + 6 Combine like terms: -6 + 6 = 0 0 + -9x = 11 + 6 -9x = 11 + 6 Combine like terms: 11 + 6 = 17 -9x = 17 Divide each side by '-9'. x = -1.888888889 Simplifying x = -1.888888889
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