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Simplifying 5(4x + 6) = 3(5x + -2) + -6 Reorder the terms: 5(6 + 4x) = 3(5x + -2) + -6 (6 * 5 + 4x * 5) = 3(5x + -2) + -6 (30 + 20x) = 3(5x + -2) + -6 Reorder the terms: 30 + 20x = 3(-2 + 5x) + -6 30 + 20x = (-2 * 3 + 5x * 3) + -6 30 + 20x = (-6 + 15x) + -6 Reorder the terms: 30 + 20x = -6 + -6 + 15x Combine like terms: -6 + -6 = -12 30 + 20x = -12 + 15x Solving 30 + 20x = -12 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 30 + 20x + -15x = -12 + 15x + -15x Combine like terms: 20x + -15x = 5x 30 + 5x = -12 + 15x + -15x Combine like terms: 15x + -15x = 0 30 + 5x = -12 + 0 30 + 5x = -12 Add '-30' to each side of the equation. 30 + -30 + 5x = -12 + -30 Combine like terms: 30 + -30 = 0 0 + 5x = -12 + -30 5x = -12 + -30 Combine like terms: -12 + -30 = -42 5x = -42 Divide each side by '5'. x = -8.4 Simplifying x = -8.4
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