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Simplifying (3x + -7) + -1(8x + -11) + -1(-4 + -5x) + -3x = 0 Reorder the terms: (-7 + 3x) + -1(8x + -11) + -1(-4 + -5x) + -3x = 0 Remove parenthesis around (-7 + 3x) -7 + 3x + -1(8x + -11) + -1(-4 + -5x) + -3x = 0 Reorder the terms: -7 + 3x + -1(-11 + 8x) + -1(-4 + -5x) + -3x = 0 -7 + 3x + (-11 * -1 + 8x * -1) + -1(-4 + -5x) + -3x = 0 -7 + 3x + (11 + -8x) + -1(-4 + -5x) + -3x = 0 -7 + 3x + 11 + -8x + (-4 * -1 + -5x * -1) + -3x = 0 -7 + 3x + 11 + -8x + (4 + 5x) + -3x = 0 Reorder the terms: -7 + 11 + 4 + 3x + -8x + 5x + -3x = 0 Combine like terms: -7 + 11 = 4 4 + 4 + 3x + -8x + 5x + -3x = 0 Combine like terms: 4 + 4 = 8 8 + 3x + -8x + 5x + -3x = 0 Combine like terms: 3x + -8x = -5x 8 + -5x + 5x + -3x = 0 Combine like terms: -5x + 5x = 0 8 + 0 + -3x = 0 8 + -3x = 0 Solving 8 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667
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