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Simplifying 2(5x + -3) = 5 + -2(x + 1) Reorder the terms: 2(-3 + 5x) = 5 + -2(x + 1) (-3 * 2 + 5x * 2) = 5 + -2(x + 1) (-6 + 10x) = 5 + -2(x + 1) Reorder the terms: -6 + 10x = 5 + -2(1 + x) -6 + 10x = 5 + (1 * -2 + x * -2) -6 + 10x = 5 + (-2 + -2x) Combine like terms: 5 + -2 = 3 -6 + 10x = 3 + -2x Solving -6 + 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. -6 + 10x + 2x = 3 + -2x + 2x Combine like terms: 10x + 2x = 12x -6 + 12x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 12x = 3 + 0 -6 + 12x = 3 Add '6' to each side of the equation. -6 + 6 + 12x = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = 3 + 6 12x = 3 + 6 Combine like terms: 3 + 6 = 9 12x = 9 Divide each side by '12'. x = 0.75 Simplifying x = 0.75
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