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Simplifying 5(x + -2) = 5x + 3 + -3(-6x + -1) Reorder the terms: 5(-2 + x) = 5x + 3 + -3(-6x + -1) (-2 * 5 + x * 5) = 5x + 3 + -3(-6x + -1) (-10 + 5x) = 5x + 3 + -3(-6x + -1) Reorder the terms: -10 + 5x = 5x + 3 + -3(-1 + -6x) -10 + 5x = 5x + 3 + (-1 * -3 + -6x * -3) -10 + 5x = 5x + 3 + (3 + 18x) Reorder the terms: -10 + 5x = 3 + 3 + 5x + 18x Combine like terms: 3 + 3 = 6 -10 + 5x = 6 + 5x + 18x Combine like terms: 5x + 18x = 23x -10 + 5x = 6 + 23x Solving -10 + 5x = 6 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. -10 + 5x + -23x = 6 + 23x + -23x Combine like terms: 5x + -23x = -18x -10 + -18x = 6 + 23x + -23x Combine like terms: 23x + -23x = 0 -10 + -18x = 6 + 0 -10 + -18x = 6 Add '10' to each side of the equation. -10 + 10 + -18x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + -18x = 6 + 10 -18x = 6 + 10 Combine like terms: 6 + 10 = 16 -18x = 16 Divide each side by '-18'. x = -0.8888888889 Simplifying x = -0.8888888889
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