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Simplifying 8(6x + -2) = 11(3x + 4) Reorder the terms: 8(-2 + 6x) = 11(3x + 4) (-2 * 8 + 6x * 8) = 11(3x + 4) (-16 + 48x) = 11(3x + 4) Reorder the terms: -16 + 48x = 11(4 + 3x) -16 + 48x = (4 * 11 + 3x * 11) -16 + 48x = (44 + 33x) Solving -16 + 48x = 44 + 33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33x' to each side of the equation. -16 + 48x + -33x = 44 + 33x + -33x Combine like terms: 48x + -33x = 15x -16 + 15x = 44 + 33x + -33x Combine like terms: 33x + -33x = 0 -16 + 15x = 44 + 0 -16 + 15x = 44 Add '16' to each side of the equation. -16 + 16 + 15x = 44 + 16 Combine like terms: -16 + 16 = 0 0 + 15x = 44 + 16 15x = 44 + 16 Combine like terms: 44 + 16 = 60 15x = 60 Divide each side by '15'. x = 4 Simplifying x = 4
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