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Simplifying -3(5x + -4) + 9x = 8 + 2(4x + -2) Reorder the terms: -3(-4 + 5x) + 9x = 8 + 2(4x + -2) (-4 * -3 + 5x * -3) + 9x = 8 + 2(4x + -2) (12 + -15x) + 9x = 8 + 2(4x + -2) Combine like terms: -15x + 9x = -6x 12 + -6x = 8 + 2(4x + -2) Reorder the terms: 12 + -6x = 8 + 2(-2 + 4x) 12 + -6x = 8 + (-2 * 2 + 4x * 2) 12 + -6x = 8 + (-4 + 8x) Combine like terms: 8 + -4 = 4 12 + -6x = 4 + 8x Solving 12 + -6x = 4 + 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. 12 + -6x + -8x = 4 + 8x + -8x Combine like terms: -6x + -8x = -14x 12 + -14x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -14x = 4 + 0 12 + -14x = 4 Add '-12' to each side of the equation. 12 + -12 + -14x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -14x = 4 + -12 -14x = 4 + -12 Combine like terms: 4 + -12 = -8 -14x = -8 Divide each side by '-14'. x = 0.5714285714 Simplifying x = 0.5714285714
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