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Simplifying 6(8 + -5x) + -1(-8x + -2) = 6x (8 * 6 + -5x * 6) + -1(-8x + -2) = 6x (48 + -30x) + -1(-8x + -2) = 6x Reorder the terms: 48 + -30x + -1(-2 + -8x) = 6x 48 + -30x + (-2 * -1 + -8x * -1) = 6x 48 + -30x + (2 + 8x) = 6x Reorder the terms: 48 + 2 + -30x + 8x = 6x Combine like terms: 48 + 2 = 50 50 + -30x + 8x = 6x Combine like terms: -30x + 8x = -22x 50 + -22x = 6x Solving 50 + -22x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 50 + -22x + -6x = 6x + -6x Combine like terms: -22x + -6x = -28x 50 + -28x = 6x + -6x Combine like terms: 6x + -6x = 0 50 + -28x = 0 Add '-50' to each side of the equation. 50 + -50 + -28x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -28x = 0 + -50 -28x = 0 + -50 Combine like terms: 0 + -50 = -50 -28x = -50 Divide each side by '-28'. x = 1.785714286 Simplifying x = 1.785714286
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