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Simplifying 5 + 2(3x + -5) = 8 + -4(2x + -1) Reorder the terms: 5 + 2(-5 + 3x) = 8 + -4(2x + -1) 5 + (-5 * 2 + 3x * 2) = 8 + -4(2x + -1) 5 + (-10 + 6x) = 8 + -4(2x + -1) Combine like terms: 5 + -10 = -5 -5 + 6x = 8 + -4(2x + -1) Reorder the terms: -5 + 6x = 8 + -4(-1 + 2x) -5 + 6x = 8 + (-1 * -4 + 2x * -4) -5 + 6x = 8 + (4 + -8x) Combine like terms: 8 + 4 = 12 -5 + 6x = 12 + -8x Solving -5 + 6x = 12 + -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 + 6x + 8x = 12 + -8x + 8x Combine like terms: 6x + 8x = 14x -5 + 14x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 -5 + 14x = 12 + 0 -5 + 14x = 12 Add '5' to each side of the equation. -5 + 5 + 14x = 12 + 5 Combine like terms: -5 + 5 = 0 0 + 14x = 12 + 5 14x = 12 + 5 Combine like terms: 12 + 5 = 17 14x = 17 Divide each side by '14'. x = 1.214285714 Simplifying x = 1.214285714
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