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Simplifying -3(2x + -4) = 9x + -2(x + -4) Reorder the terms: -3(-4 + 2x) = 9x + -2(x + -4) (-4 * -3 + 2x * -3) = 9x + -2(x + -4) (12 + -6x) = 9x + -2(x + -4) Reorder the terms: 12 + -6x = 9x + -2(-4 + x) 12 + -6x = 9x + (-4 * -2 + x * -2) 12 + -6x = 9x + (8 + -2x) Reorder the terms: 12 + -6x = 8 + 9x + -2x Combine like terms: 9x + -2x = 7x 12 + -6x = 8 + 7x Solving 12 + -6x = 8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 12 + -6x + -7x = 8 + 7x + -7x Combine like terms: -6x + -7x = -13x 12 + -13x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -13x = 8 + 0 12 + -13x = 8 Add '-12' to each side of the equation. 12 + -12 + -13x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -13x = 8 + -12 -13x = 8 + -12 Combine like terms: 8 + -12 = -4 -13x = -4 Divide each side by '-13'. x = 0.3076923077 Simplifying x = 0.3076923077
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