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Simplifying 4(6x + -5) + -11 = 3(8 + -2x) + -3x Reorder the terms: 4(-5 + 6x) + -11 = 3(8 + -2x) + -3x (-5 * 4 + 6x * 4) + -11 = 3(8 + -2x) + -3x (-20 + 24x) + -11 = 3(8 + -2x) + -3x Reorder the terms: -20 + -11 + 24x = 3(8 + -2x) + -3x Combine like terms: -20 + -11 = -31 -31 + 24x = 3(8 + -2x) + -3x -31 + 24x = (8 * 3 + -2x * 3) + -3x -31 + 24x = (24 + -6x) + -3x Combine like terms: -6x + -3x = -9x -31 + 24x = 24 + -9x Solving -31 + 24x = 24 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -31 + 24x + 9x = 24 + -9x + 9x Combine like terms: 24x + 9x = 33x -31 + 33x = 24 + -9x + 9x Combine like terms: -9x + 9x = 0 -31 + 33x = 24 + 0 -31 + 33x = 24 Add '31' to each side of the equation. -31 + 31 + 33x = 24 + 31 Combine like terms: -31 + 31 = 0 0 + 33x = 24 + 31 33x = 24 + 31 Combine like terms: 24 + 31 = 55 33x = 55 Divide each side by '33'. x = 1.666666667 Simplifying x = 1.666666667
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