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Simplifying 1 + -3(2x + -7) + 9x = 11 + 5(3x + -4) + -7x + -4 Reorder the terms: 1 + -3(-7 + 2x) + 9x = 11 + 5(3x + -4) + -7x + -4 1 + (-7 * -3 + 2x * -3) + 9x = 11 + 5(3x + -4) + -7x + -4 1 + (21 + -6x) + 9x = 11 + 5(3x + -4) + -7x + -4 Combine like terms: 1 + 21 = 22 22 + -6x + 9x = 11 + 5(3x + -4) + -7x + -4 Combine like terms: -6x + 9x = 3x 22 + 3x = 11 + 5(3x + -4) + -7x + -4 Reorder the terms: 22 + 3x = 11 + 5(-4 + 3x) + -7x + -4 22 + 3x = 11 + (-4 * 5 + 3x * 5) + -7x + -4 22 + 3x = 11 + (-20 + 15x) + -7x + -4 Reorder the terms: 22 + 3x = 11 + -20 + -4 + 15x + -7x Combine like terms: 11 + -20 = -9 22 + 3x = -9 + -4 + 15x + -7x Combine like terms: -9 + -4 = -13 22 + 3x = -13 + 15x + -7x Combine like terms: 15x + -7x = 8x 22 + 3x = -13 + 8x Solving 22 + 3x = -13 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 22 + 3x + -8x = -13 + 8x + -8x Combine like terms: 3x + -8x = -5x 22 + -5x = -13 + 8x + -8x Combine like terms: 8x + -8x = 0 22 + -5x = -13 + 0 22 + -5x = -13 Add '-22' to each side of the equation. 22 + -22 + -5x = -13 + -22 Combine like terms: 22 + -22 = 0 0 + -5x = -13 + -22 -5x = -13 + -22 Combine like terms: -13 + -22 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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