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Simplifying -5(7 + x) + 8(6 + -4x) = 0 (7 * -5 + x * -5) + 8(6 + -4x) = 0 (-35 + -5x) + 8(6 + -4x) = 0 -35 + -5x + (6 * 8 + -4x * 8) = 0 -35 + -5x + (48 + -32x) = 0 Reorder the terms: -35 + 48 + -5x + -32x = 0 Combine like terms: -35 + 48 = 13 13 + -5x + -32x = 0 Combine like terms: -5x + -32x = -37x 13 + -37x = 0 Solving 13 + -37x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -37x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -37x = 0 + -13 -37x = 0 + -13 Combine like terms: 0 + -13 = -13 -37x = -13 Divide each side by '-37'. x = 0.3513513514 Simplifying x = 0.3513513514
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