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Simplifying 8 + -3(3 + -2x) = x + -4(x + -3) 8 + (3 * -3 + -2x * -3) = x + -4(x + -3) 8 + (-9 + 6x) = x + -4(x + -3) Combine like terms: 8 + -9 = -1 -1 + 6x = x + -4(x + -3) Reorder the terms: -1 + 6x = x + -4(-3 + x) -1 + 6x = x + (-3 * -4 + x * -4) -1 + 6x = x + (12 + -4x) Reorder the terms: -1 + 6x = 12 + x + -4x Combine like terms: x + -4x = -3x -1 + 6x = 12 + -3x Solving -1 + 6x = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -1 + 6x + 3x = 12 + -3x + 3x Combine like terms: 6x + 3x = 9x -1 + 9x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -1 + 9x = 12 + 0 -1 + 9x = 12 Add '1' to each side of the equation. -1 + 1 + 9x = 12 + 1 Combine like terms: -1 + 1 = 0 0 + 9x = 12 + 1 9x = 12 + 1 Combine like terms: 12 + 1 = 13 9x = 13 Divide each side by '9'. x = 1.444444444 Simplifying x = 1.444444444
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