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Simplifying 10(x + -1) = 22x + 6(x + 3) Reorder the terms: 10(-1 + x) = 22x + 6(x + 3) (-1 * 10 + x * 10) = 22x + 6(x + 3) (-10 + 10x) = 22x + 6(x + 3) Reorder the terms: -10 + 10x = 22x + 6(3 + x) -10 + 10x = 22x + (3 * 6 + x * 6) -10 + 10x = 22x + (18 + 6x) Reorder the terms: -10 + 10x = 18 + 22x + 6x Combine like terms: 22x + 6x = 28x -10 + 10x = 18 + 28x Solving -10 + 10x = 18 + 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. -10 + 10x + -28x = 18 + 28x + -28x Combine like terms: 10x + -28x = -18x -10 + -18x = 18 + 28x + -28x Combine like terms: 28x + -28x = 0 -10 + -18x = 18 + 0 -10 + -18x = 18 Add '10' to each side of the equation. -10 + 10 + -18x = 18 + 10 Combine like terms: -10 + 10 = 0 0 + -18x = 18 + 10 -18x = 18 + 10 Combine like terms: 18 + 10 = 28 -18x = 28 Divide each side by '-18'. x = -1.555555556 Simplifying x = -1.555555556
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