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Simplifying 1 + 2(5x + -3) = -2(6x + -5) + 4x Reorder the terms: 1 + 2(-3 + 5x) = -2(6x + -5) + 4x 1 + (-3 * 2 + 5x * 2) = -2(6x + -5) + 4x 1 + (-6 + 10x) = -2(6x + -5) + 4x Combine like terms: 1 + -6 = -5 -5 + 10x = -2(6x + -5) + 4x Reorder the terms: -5 + 10x = -2(-5 + 6x) + 4x -5 + 10x = (-5 * -2 + 6x * -2) + 4x -5 + 10x = (10 + -12x) + 4x Combine like terms: -12x + 4x = -8x -5 + 10x = 10 + -8x Solving -5 + 10x = 10 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -5 + 10x + 8x = 10 + -8x + 8x Combine like terms: 10x + 8x = 18x -5 + 18x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 -5 + 18x = 10 + 0 -5 + 18x = 10 Add '5' to each side of the equation. -5 + 5 + 18x = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 18x = 10 + 5 18x = 10 + 5 Combine like terms: 10 + 5 = 15 18x = 15 Divide each side by '18'. x = 0.8333333333 Simplifying x = 0.8333333333
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