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Simplifying 1(x + 8) = 6(x + -5) Reorder the terms: 1(8 + x) = 6(x + -5) (8 * 1 + x * 1) = 6(x + -5) (8 + 1x) = 6(x + -5) Reorder the terms: 8 + 1x = 6(-5 + x) 8 + 1x = (-5 * 6 + x * 6) 8 + 1x = (-30 + 6x) Solving 8 + 1x = -30 + 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. 8 + 1x + -6x = -30 + 6x + -6x Combine like terms: 1x + -6x = -5x 8 + -5x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -5x = -30 + 0 8 + -5x = -30 Add '-8' to each side of the equation. 8 + -8 + -5x = -30 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = -30 + -8 -5x = -30 + -8 Combine like terms: -30 + -8 = -38 -5x = -38 Divide each side by '-5'. x = 7.6 Simplifying x = 7.6
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