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Simplifying 5(4x + -6) + -3x = 47 + 6x Reorder the terms: 5(-6 + 4x) + -3x = 47 + 6x (-6 * 5 + 4x * 5) + -3x = 47 + 6x (-30 + 20x) + -3x = 47 + 6x Combine like terms: 20x + -3x = 17x -30 + 17x = 47 + 6x Solving -30 + 17x = 47 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -30 + 17x + -6x = 47 + 6x + -6x Combine like terms: 17x + -6x = 11x -30 + 11x = 47 + 6x + -6x Combine like terms: 6x + -6x = 0 -30 + 11x = 47 + 0 -30 + 11x = 47 Add '30' to each side of the equation. -30 + 30 + 11x = 47 + 30 Combine like terms: -30 + 30 = 0 0 + 11x = 47 + 30 11x = 47 + 30 Combine like terms: 47 + 30 = 77 11x = 77 Divide each side by '11'. x = 7 Simplifying x = 7
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