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Simplifying 3x + 6 = 99(5 + x) + -6x + 7 Reorder the terms: 6 + 3x = 99(5 + x) + -6x + 7 6 + 3x = (5 * 99 + x * 99) + -6x + 7 6 + 3x = (495 + 99x) + -6x + 7 Reorder the terms: 6 + 3x = 495 + 7 + 99x + -6x Combine like terms: 495 + 7 = 502 6 + 3x = 502 + 99x + -6x Combine like terms: 99x + -6x = 93x 6 + 3x = 502 + 93x Solving 6 + 3x = 502 + 93x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-93x' to each side of the equation. 6 + 3x + -93x = 502 + 93x + -93x Combine like terms: 3x + -93x = -90x 6 + -90x = 502 + 93x + -93x Combine like terms: 93x + -93x = 0 6 + -90x = 502 + 0 6 + -90x = 502 Add '-6' to each side of the equation. 6 + -6 + -90x = 502 + -6 Combine like terms: 6 + -6 = 0 0 + -90x = 502 + -6 -90x = 502 + -6 Combine like terms: 502 + -6 = 496 -90x = 496 Divide each side by '-90'. x = -5.511111111 Simplifying x = -5.511111111
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