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Simplifying (8x + -3) + -1(7x + -4) + (-5x + 6) = 0 Reorder the terms: (-3 + 8x) + -1(7x + -4) + (-5x + 6) = 0 Remove parenthesis around (-3 + 8x) -3 + 8x + -1(7x + -4) + (-5x + 6) = 0 Reorder the terms: -3 + 8x + -1(-4 + 7x) + (-5x + 6) = 0 -3 + 8x + (-4 * -1 + 7x * -1) + (-5x + 6) = 0 -3 + 8x + (4 + -7x) + (-5x + 6) = 0 Reorder the terms: -3 + 8x + 4 + -7x + (6 + -5x) = 0 Remove parenthesis around (6 + -5x) -3 + 8x + 4 + -7x + 6 + -5x = 0 Reorder the terms: -3 + 4 + 6 + 8x + -7x + -5x = 0 Combine like terms: -3 + 4 = 1 1 + 6 + 8x + -7x + -5x = 0 Combine like terms: 1 + 6 = 7 7 + 8x + -7x + -5x = 0 Combine like terms: 8x + -7x = 1x 7 + 1x + -5x = 0 Combine like terms: 1x + -5x = -4x 7 + -4x = 0 Solving 7 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75
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