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Simplifying -5(x + -6) + x = 8(6 + -1x) Reorder the terms: -5(-6 + x) + x = 8(6 + -1x) (-6 * -5 + x * -5) + x = 8(6 + -1x) (30 + -5x) + x = 8(6 + -1x) Combine like terms: -5x + x = -4x 30 + -4x = 8(6 + -1x) 30 + -4x = (6 * 8 + -1x * 8) 30 + -4x = (48 + -8x) Solving 30 + -4x = 48 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 30 + -4x + 8x = 48 + -8x + 8x Combine like terms: -4x + 8x = 4x 30 + 4x = 48 + -8x + 8x Combine like terms: -8x + 8x = 0 30 + 4x = 48 + 0 30 + 4x = 48 Add '-30' to each side of the equation. 30 + -30 + 4x = 48 + -30 Combine like terms: 30 + -30 = 0 0 + 4x = 48 + -30 4x = 48 + -30 Combine like terms: 48 + -30 = 18 4x = 18 Divide each side by '4'. x = 4.5 Simplifying x = 4.5
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