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Simplifying -3(x + 11) = 6(-4x + -13) Reorder the terms: -3(11 + x) = 6(-4x + -13) (11 * -3 + x * -3) = 6(-4x + -13) (-33 + -3x) = 6(-4x + -13) Reorder the terms: -33 + -3x = 6(-13 + -4x) -33 + -3x = (-13 * 6 + -4x * 6) -33 + -3x = (-78 + -24x) Solving -33 + -3x = -78 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -33 + -3x + 24x = -78 + -24x + 24x Combine like terms: -3x + 24x = 21x -33 + 21x = -78 + -24x + 24x Combine like terms: -24x + 24x = 0 -33 + 21x = -78 + 0 -33 + 21x = -78 Add '33' to each side of the equation. -33 + 33 + 21x = -78 + 33 Combine like terms: -33 + 33 = 0 0 + 21x = -78 + 33 21x = -78 + 33 Combine like terms: -78 + 33 = -45 21x = -45 Divide each side by '21'. x = -2.142857143 Simplifying x = -2.142857143
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