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Simplifying 2(9x + 1) = 99 + -7(3 + -4x) Reorder the terms: 2(1 + 9x) = 99 + -7(3 + -4x) (1 * 2 + 9x * 2) = 99 + -7(3 + -4x) (2 + 18x) = 99 + -7(3 + -4x) 2 + 18x = 99 + (3 * -7 + -4x * -7) 2 + 18x = 99 + (-21 + 28x) Combine like terms: 99 + -21 = 78 2 + 18x = 78 + 28x Solving 2 + 18x = 78 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 2 + 18x + -28x = 78 + 28x + -28x Combine like terms: 18x + -28x = -10x 2 + -10x = 78 + 28x + -28x Combine like terms: 28x + -28x = 0 2 + -10x = 78 + 0 2 + -10x = 78 Add '-2' to each side of the equation. 2 + -2 + -10x = 78 + -2 Combine like terms: 2 + -2 = 0 0 + -10x = 78 + -2 -10x = 78 + -2 Combine like terms: 78 + -2 = 76 -10x = 76 Divide each side by '-10'. x = -7.6 Simplifying x = -7.6
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