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Simplifying 2(x + 7) + -33 = 4x + -11x + 4(x + -1) Reorder the terms: 2(7 + x) + -33 = 4x + -11x + 4(x + -1) (7 * 2 + x * 2) + -33 = 4x + -11x + 4(x + -1) (14 + 2x) + -33 = 4x + -11x + 4(x + -1) Reorder the terms: 14 + -33 + 2x = 4x + -11x + 4(x + -1) Combine like terms: 14 + -33 = -19 -19 + 2x = 4x + -11x + 4(x + -1) Reorder the terms: -19 + 2x = 4x + -11x + 4(-1 + x) -19 + 2x = 4x + -11x + (-1 * 4 + x * 4) -19 + 2x = 4x + -11x + (-4 + 4x) Reorder the terms: -19 + 2x = -4 + 4x + -11x + 4x Combine like terms: 4x + -11x = -7x -19 + 2x = -4 + -7x + 4x Combine like terms: -7x + 4x = -3x -19 + 2x = -4 + -3x Solving -19 + 2x = -4 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -19 + 2x + 3x = -4 + -3x + 3x Combine like terms: 2x + 3x = 5x -19 + 5x = -4 + -3x + 3x Combine like terms: -3x + 3x = 0 -19 + 5x = -4 + 0 -19 + 5x = -4 Add '19' to each side of the equation. -19 + 19 + 5x = -4 + 19 Combine like terms: -19 + 19 = 0 0 + 5x = -4 + 19 5x = -4 + 19 Combine like terms: -4 + 19 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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