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Simplifying 5(2x + -1) = 3 + 2(x + -3) Reorder the terms: 5(-1 + 2x) = 3 + 2(x + -3) (-1 * 5 + 2x * 5) = 3 + 2(x + -3) (-5 + 10x) = 3 + 2(x + -3) Reorder the terms: -5 + 10x = 3 + 2(-3 + x) -5 + 10x = 3 + (-3 * 2 + x * 2) -5 + 10x = 3 + (-6 + 2x) Combine like terms: 3 + -6 = -3 -5 + 10x = -3 + 2x Solving -5 + 10x = -3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + 10x + -2x = -3 + 2x + -2x Combine like terms: 10x + -2x = 8x -5 + 8x = -3 + 2x + -2x Combine like terms: 2x + -2x = 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 = 2 8x = 2 Divide each side by '8'. x = 0.25 Simplifying x = 0.25
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