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Simplifying 3(x + 9) + 8(9 + -6x) = -46(x + -2) + -9 Reorder the terms: 3(9 + x) + 8(9 + -6x) = -46(x + -2) + -9 (9 * 3 + x * 3) + 8(9 + -6x) = -46(x + -2) + -9 (27 + 3x) + 8(9 + -6x) = -46(x + -2) + -9 27 + 3x + (9 * 8 + -6x * 8) = -46(x + -2) + -9 27 + 3x + (72 + -48x) = -46(x + -2) + -9 Reorder the terms: 27 + 72 + 3x + -48x = -46(x + -2) + -9 Combine like terms: 27 + 72 = 99 99 + 3x + -48x = -46(x + -2) + -9 Combine like terms: 3x + -48x = -45x 99 + -45x = -46(x + -2) + -9 Reorder the terms: 99 + -45x = -46(-2 + x) + -9 99 + -45x = (-2 * -46 + x * -46) + -9 99 + -45x = (92 + -46x) + -9 Reorder the terms: 99 + -45x = 92 + -9 + -46x Combine like terms: 92 + -9 = 83 99 + -45x = 83 + -46x Solving 99 + -45x = 83 + -46x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46x' to each side of the equation. 99 + -45x + 46x = 83 + -46x + 46x Combine like terms: -45x + 46x = 1x 99 + 1x = 83 + -46x + 46x Combine like terms: -46x + 46x = 0 99 + 1x = 83 + 0 99 + 1x = 83 Add '-99' to each side of the equation. 99 + -99 + 1x = 83 + -99 Combine like terms: 99 + -99 = 0 0 + 1x = 83 + -99 1x = 83 + -99 Combine like terms: 83 + -99 = -16 1x = -16 Divide each side by '1'. x = -16 Simplifying x = -16
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