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Simplifying 7(2x + -1) + 4 = 11(3x + -2) Reorder the terms: 7(-1 + 2x) + 4 = 11(3x + -2) (-1 * 7 + 2x * 7) + 4 = 11(3x + -2) (-7 + 14x) + 4 = 11(3x + -2) Reorder the terms: -7 + 4 + 14x = 11(3x + -2) Combine like terms: -7 + 4 = -3 -3 + 14x = 11(3x + -2) Reorder the terms: -3 + 14x = 11(-2 + 3x) -3 + 14x = (-2 * 11 + 3x * 11) -3 + 14x = (-22 + 33x) Solving -3 + 14x = -22 + 33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33x' to each side of the equation. -3 + 14x + -33x = -22 + 33x + -33x Combine like terms: 14x + -33x = -19x -3 + -19x = -22 + 33x + -33x Combine like terms: 33x + -33x = 0 -3 + -19x = -22 + 0 -3 + -19x = -22 Add '3' to each side of the equation. -3 + 3 + -19x = -22 + 3 Combine like terms: -3 + 3 = 0 0 + -19x = -22 + 3 -19x = -22 + 3 Combine like terms: -22 + 3 = -19 -19x = -19 Divide each side by '-19'. x = 1 Simplifying x = 1
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