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Simplifying -3(7 + 10x) + -8(-1x + -4) = 99 (7 * -3 + 10x * -3) + -8(-1x + -4) = 99 (-21 + -30x) + -8(-1x + -4) = 99 Reorder the terms: -21 + -30x + -8(-4 + -1x) = 99 -21 + -30x + (-4 * -8 + -1x * -8) = 99 -21 + -30x + (32 + 8x) = 99 Reorder the terms: -21 + 32 + -30x + 8x = 99 Combine like terms: -21 + 32 = 11 11 + -30x + 8x = 99 Combine like terms: -30x + 8x = -22x 11 + -22x = 99 Solving 11 + -22x = 99 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -22x = 99 + -11 Combine like terms: 11 + -11 = 0 0 + -22x = 99 + -11 -22x = 99 + -11 Combine like terms: 99 + -11 = 88 -22x = 88 Divide each side by '-22'. x = -4 Simplifying x = -4
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