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Simplifying 2(9x + -3) = 99 + -7(1 + -4x) Reorder the terms: 2(-3 + 9x) = 99 + -7(1 + -4x) (-3 * 2 + 9x * 2) = 99 + -7(1 + -4x) (-6 + 18x) = 99 + -7(1 + -4x) -6 + 18x = 99 + (1 * -7 + -4x * -7) -6 + 18x = 99 + (-7 + 28x) Combine like terms: 99 + -7 = 92 -6 + 18x = 92 + 28x Solving -6 + 18x = 92 + 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. -6 + 18x + -28x = 92 + 28x + -28x Combine like terms: 18x + -28x = -10x -6 + -10x = 92 + 28x + -28x Combine like terms: 28x + -28x = 0 -6 + -10x = 92 + 0 -6 + -10x = 92 Add '6' to each side of the equation. -6 + 6 + -10x = 92 + 6 Combine like terms: -6 + 6 = 0 0 + -10x = 92 + 6 -10x = 92 + 6 Combine like terms: 92 + 6 = 98 -10x = 98 Divide each side by '-10'. x = -9.8 Simplifying x = -9.8
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