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Simplifying 9[6 + -1(9x + -4)] = 243x + 162 Reorder the terms: 9[6 + -1(-4 + 9x)] = 243x + 162 9[6 + (-4 * -1 + 9x * -1)] = 243x + 162 9[6 + (4 + -9x)] = 243x + 162 Combine like terms: 6 + 4 = 10 9[10 + -9x] = 243x + 162 [10 * 9 + -9x * 9] = 243x + 162 [90 + -81x] = 243x + 162 Reorder the terms: 90 + -81x = 162 + 243x Solving 90 + -81x = 162 + 243x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-243x' to each side of the equation. 90 + -81x + -243x = 162 + 243x + -243x Combine like terms: -81x + -243x = -324x 90 + -324x = 162 + 243x + -243x Combine like terms: 243x + -243x = 0 90 + -324x = 162 + 0 90 + -324x = 162 Add '-90' to each side of the equation. 90 + -90 + -324x = 162 + -90 Combine like terms: 90 + -90 = 0 0 + -324x = 162 + -90 -324x = 162 + -90 Combine like terms: 162 + -90 = 72 -324x = 72 Divide each side by '-324'. x = -0.2222222222 Simplifying x = -0.2222222222
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