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Simplifying 3(2x + -3(x + 1)) + 8 = 4x + -1(x + -3) Reorder the terms: 3(2x + -3(1 + x)) + 8 = 4x + -1(x + -3) 3(2x + (1 * -3 + x * -3)) + 8 = 4x + -1(x + -3) 3(2x + (-3 + -3x)) + 8 = 4x + -1(x + -3) Reorder the terms: 3(-3 + 2x + -3x) + 8 = 4x + -1(x + -3) Combine like terms: 2x + -3x = -1x 3(-3 + -1x) + 8 = 4x + -1(x + -3) (-3 * 3 + -1x * 3) + 8 = 4x + -1(x + -3) (-9 + -3x) + 8 = 4x + -1(x + -3) Reorder the terms: -9 + 8 + -3x = 4x + -1(x + -3) Combine like terms: -9 + 8 = -1 -1 + -3x = 4x + -1(x + -3) Reorder the terms: -1 + -3x = 4x + -1(-3 + x) -1 + -3x = 4x + (-3 * -1 + x * -1) -1 + -3x = 4x + (3 + -1x) Reorder the terms: -1 + -3x = 3 + 4x + -1x Combine like terms: 4x + -1x = 3x -1 + -3x = 3 + 3x Solving -1 + -3x = 3 + 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 + -3x + -3x = 3 + 3x + -3x Combine like terms: -3x + -3x = -6x -1 + -6x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -6x = 3 + 0 -1 + -6x = 3 Add '1' to each side of the equation. -1 + 1 + -6x = 3 + 1 Combine like terms: -1 + 1 = 0 0 + -6x = 3 + 1 -6x = 3 + 1 Combine like terms: 3 + 1 = 4 -6x = 4 Divide each side by '-6'. x = -0.6666666667 Simplifying x = -0.6666666667
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