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Simplifying 5x + 2(2 + -5x) = 6 + 3(3x + -4) 5x + (2 * 2 + -5x * 2) = 6 + 3(3x + -4) 5x + (4 + -10x) = 6 + 3(3x + -4) Reorder the terms: 4 + 5x + -10x = 6 + 3(3x + -4) Combine like terms: 5x + -10x = -5x 4 + -5x = 6 + 3(3x + -4) Reorder the terms: 4 + -5x = 6 + 3(-4 + 3x) 4 + -5x = 6 + (-4 * 3 + 3x * 3) 4 + -5x = 6 + (-12 + 9x) Combine like terms: 6 + -12 = -6 4 + -5x = -6 + 9x Solving 4 + -5x = -6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 4 + -5x + -9x = -6 + 9x + -9x Combine like terms: -5x + -9x = -14x 4 + -14x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 4 + -14x = -6 + 0 4 + -14x = -6 Add '-4' to each side of the equation. 4 + -4 + -14x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -14x = -6 + -4 -14x = -6 + -4 Combine like terms: -6 + -4 = -10 -14x = -10 Divide each side by '-14'. x = 0.7142857143 Simplifying x = 0.7142857143
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