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Simplifying 11[5x + -4(1 + -1x)] = 3(2x + -5) 11[5x + (1 * -4 + -1x * -4)] = 3(2x + -5) 11[5x + (-4 + 4x)] = 3(2x + -5) Reorder the terms: 11[-4 + 5x + 4x] = 3(2x + -5) Combine like terms: 5x + 4x = 9x 11[-4 + 9x] = 3(2x + -5) [-4 * 11 + 9x * 11] = 3(2x + -5) [-44 + 99x] = 3(2x + -5) Reorder the terms: -44 + 99x = 3(-5 + 2x) -44 + 99x = (-5 * 3 + 2x * 3) -44 + 99x = (-15 + 6x) Solving -44 + 99x = -15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -44 + 99x + -6x = -15 + 6x + -6x Combine like terms: 99x + -6x = 93x -44 + 93x = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 -44 + 93x = -15 + 0 -44 + 93x = -15 Add '44' to each side of the equation. -44 + 44 + 93x = -15 + 44 Combine like terms: -44 + 44 = 0 0 + 93x = -15 + 44 93x = -15 + 44 Combine like terms: -15 + 44 = 29 93x = 29 Divide each side by '93'. x = 0.311827957 Simplifying x = 0.311827957
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