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Simplifying 5(3x + -4) = 3(x + -2) * 11 Reorder the terms: 5(-4 + 3x) = 3(x + -2) * 11 (-4 * 5 + 3x * 5) = 3(x + -2) * 11 (-20 + 15x) = 3(x + -2) * 11 Reorder the terms: -20 + 15x = 3(-2 + x) * 11 Reorder the terms for easier multiplication: -20 + 15x = 3 * 11(-2 + x) Multiply 3 * 11 -20 + 15x = 33(-2 + x) -20 + 15x = (-2 * 33 + x * 33) -20 + 15x = (-66 + 33x) Solving -20 + 15x = -66 + 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. -20 + 15x + -33x = -66 + 33x + -33x Combine like terms: 15x + -33x = -18x -20 + -18x = -66 + 33x + -33x Combine like terms: 33x + -33x = 0 -20 + -18x = -66 + 0 -20 + -18x = -66 Add '20' to each side of the equation. -20 + 20 + -18x = -66 + 20 Combine like terms: -20 + 20 = 0 0 + -18x = -66 + 20 -18x = -66 + 20 Combine like terms: -66 + 20 = -46 -18x = -46 Divide each side by '-18'. x = 2.555555556 Simplifying x = 2.555555556
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