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Simplifying 4 + 2(3x + -5) = 9 + -4(2x + 1) Reorder the terms: 4 + 2(-5 + 3x) = 9 + -4(2x + 1) 4 + (-5 * 2 + 3x * 2) = 9 + -4(2x + 1) 4 + (-10 + 6x) = 9 + -4(2x + 1) Combine like terms: 4 + -10 = -6 -6 + 6x = 9 + -4(2x + 1) Reorder the terms: -6 + 6x = 9 + -4(1 + 2x) -6 + 6x = 9 + (1 * -4 + 2x * -4) -6 + 6x = 9 + (-4 + -8x) Combine like terms: 9 + -4 = 5 -6 + 6x = 5 + -8x Solving -6 + 6x = 5 + -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. -6 + 6x + 8x = 5 + -8x + 8x Combine like terms: 6x + 8x = 14x -6 + 14x = 5 + -8x + 8x Combine like terms: -8x + 8x = 0 -6 + 14x = 5 + 0 -6 + 14x = 5 Add '6' to each side of the equation. -6 + 6 + 14x = 5 + 6 Combine like terms: -6 + 6 = 0 0 + 14x = 5 + 6 14x = 5 + 6 Combine like terms: 5 + 6 = 11 14x = 11 Divide each side by '14'. x = 0.7857142857 Simplifying x = 0.7857142857
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