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Simplifying 3(2x + -4) = 9 + -3 + -9(x + 1) Reorder the terms: 3(-4 + 2x) = 9 + -3 + -9(x + 1) (-4 * 3 + 2x * 3) = 9 + -3 + -9(x + 1) (-12 + 6x) = 9 + -3 + -9(x + 1) Reorder the terms: -12 + 6x = 9 + -3 + -9(1 + x) -12 + 6x = 9 + -3 + (1 * -9 + x * -9) -12 + 6x = 9 + -3 + (-9 + -9x) Combine like terms: 9 + -3 = 6 -12 + 6x = 6 + -9 + -9x Combine like terms: 6 + -9 = -3 -12 + 6x = -3 + -9x Solving -12 + 6x = -3 + -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. -12 + 6x + 9x = -3 + -9x + 9x Combine like terms: 6x + 9x = 15x -12 + 15x = -3 + -9x + 9x Combine like terms: -9x + 9x = 0 -12 + 15x = -3 + 0 -12 + 15x = -3 Add '12' to each side of the equation. -12 + 12 + 15x = -3 + 12 Combine like terms: -12 + 12 = 0 0 + 15x = -3 + 12 15x = -3 + 12 Combine like terms: -3 + 12 = 9 15x = 9 Divide each side by '15'. x = 0.6 Simplifying x = 0.6
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