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Simplifying 8 + -1(2x + -5) = 4x + 6 + -3 Reorder the terms: 8 + -1(-5 + 2x) = 4x + 6 + -3 8 + (-5 * -1 + 2x * -1) = 4x + 6 + -3 8 + (5 + -2x) = 4x + 6 + -3 Combine like terms: 8 + 5 = 13 13 + -2x = 4x + 6 + -3 Reorder the terms: 13 + -2x = 6 + -3 + 4x Combine like terms: 6 + -3 = 3 13 + -2x = 3 + 4x Solving 13 + -2x = 3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 13 + -2x + -4x = 3 + 4x + -4x Combine like terms: -2x + -4x = -6x 13 + -6x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 13 + -6x = 3 + 0 13 + -6x = 3 Add '-13' to each side of the equation. 13 + -13 + -6x = 3 + -13 Combine like terms: 13 + -13 = 0 0 + -6x = 3 + -13 -6x = 3 + -13 Combine like terms: 3 + -13 = -10 -6x = -10 Divide each side by '-6'. x = 1.666666667 Simplifying x = 1.666666667
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