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Simplifying 5(-3x + 11) + 7(4x + -5) = 9x + -1x Reorder the terms: 5(11 + -3x) + 7(4x + -5) = 9x + -1x (11 * 5 + -3x * 5) + 7(4x + -5) = 9x + -1x (55 + -15x) + 7(4x + -5) = 9x + -1x Reorder the terms: 55 + -15x + 7(-5 + 4x) = 9x + -1x 55 + -15x + (-5 * 7 + 4x * 7) = 9x + -1x 55 + -15x + (-35 + 28x) = 9x + -1x Reorder the terms: 55 + -35 + -15x + 28x = 9x + -1x Combine like terms: 55 + -35 = 20 20 + -15x + 28x = 9x + -1x Combine like terms: -15x + 28x = 13x 20 + 13x = 9x + -1x Combine like terms: 9x + -1x = 8x 20 + 13x = 8x Solving 20 + 13x = 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. 20 + 13x + -8x = 8x + -8x Combine like terms: 13x + -8x = 5x 20 + 5x = 8x + -8x Combine like terms: 8x + -8x = 0 20 + 5x = 0 Add '-20' to each side of the equation. 20 + -20 + 5x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 5x = 0 + -20 5x = 0 + -20 Combine like terms: 0 + -20 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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