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Simplifying 5(2x + -1) = 3(1 + 6x) Reorder the terms: 5(-1 + 2x) = 3(1 + 6x) (-1 * 5 + 2x * 5) = 3(1 + 6x) (-5 + 10x) = 3(1 + 6x) -5 + 10x = (1 * 3 + 6x * 3) -5 + 10x = (3 + 18x) Solving -5 + 10x = 3 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -5 + 10x + -18x = 3 + 18x + -18x Combine like terms: 10x + -18x = -8x -5 + -8x = 3 + 18x + -18x Combine like terms: 18x + -18x = 0 -5 + -8x = 3 + 0 -5 + -8x = 3 Add '5' to each side of the equation. -5 + 5 + -8x = 3 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = 3 + 5 -8x = 3 + 5 Combine like terms: 3 + 5 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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