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Simplifying -3(8x + 11) = 6(4x + -13) Reorder the terms: -3(11 + 8x) = 6(4x + -13) (11 * -3 + 8x * -3) = 6(4x + -13) (-33 + -24x) = 6(4x + -13) Reorder the terms: -33 + -24x = 6(-13 + 4x) -33 + -24x = (-13 * 6 + 4x * 6) -33 + -24x = (-78 + 24x) Solving -33 + -24x = -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 + -24x + -24x = -78 + 24x + -24x Combine like terms: -24x + -24x = -48x -33 + -48x = -78 + 24x + -24x Combine like terms: 24x + -24x = 0 -33 + -48x = -78 + 0 -33 + -48x = -78 Add '33' to each side of the equation. -33 + 33 + -48x = -78 + 33 Combine like terms: -33 + 33 = 0 0 + -48x = -78 + 33 -48x = -78 + 33 Combine like terms: -78 + 33 = -45 -48x = -45 Divide each side by '-48'. x = 0.9375 Simplifying x = 0.9375
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