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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 = -111 48x = -111 Divide each side by '48'. x = -2.3125 Simplifying x = -2.3125
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