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Simplifying 21(x + 7 + -6x) = 9x(2 + -5) Reorder the terms: 21(7 + x + -6x) = 9x(2 + -5) Combine like terms: x + -6x = -5x 21(7 + -5x) = 9x(2 + -5) (7 * 21 + -5x * 21) = 9x(2 + -5) (147 + -105x) = 9x(2 + -5) Combine like terms: 2 + -5 = -3 147 + -105x = 9x(-3) Reorder the terms for easier multiplication: 147 + -105x = 9 * -3x Multiply 9 * -3 147 + -105x = -27x Solving 147 + -105x = -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. 147 + -105x + 27x = -27x + 27x Combine like terms: -105x + 27x = -78x 147 + -78x = -27x + 27x Combine like terms: -27x + 27x = 0 147 + -78x = 0 Add '-147' to each side of the equation. 147 + -147 + -78x = 0 + -147 Combine like terms: 147 + -147 = 0 0 + -78x = 0 + -147 -78x = 0 + -147 Combine like terms: 0 + -147 = -147 -78x = -147 Divide each side by '-78'. x = 1.884615385 Simplifying x = 1.884615385
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