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Simplifying 2(9x + -2) = 99 + -7(3 + -4x) Reorder the terms: 2(-2 + 9x) = 99 + -7(3 + -4x) (-2 * 2 + 9x * 2) = 99 + -7(3 + -4x) (-4 + 18x) = 99 + -7(3 + -4x) -4 + 18x = 99 + (3 * -7 + -4x * -7) -4 + 18x = 99 + (-21 + 28x) Combine like terms: 99 + -21 = 78 -4 + 18x = 78 + 28x Solving -4 + 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. -4 + 18x + -28x = 78 + 28x + -28x Combine like terms: 18x + -28x = -10x -4 + -10x = 78 + 28x + -28x Combine like terms: 28x + -28x = 0 -4 + -10x = 78 + 0 -4 + -10x = 78 Add '4' to each side of the equation. -4 + 4 + -10x = 78 + 4 Combine like terms: -4 + 4 = 0 0 + -10x = 78 + 4 -10x = 78 + 4 Combine like terms: 78 + 4 = 82 -10x = 82 Divide each side by '-10'. x = -8.2 Simplifying x = -8.2
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