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Simplifying 5(x + -8) + x = -30 + 8x Reorder the terms: 5(-8 + x) + x = -30 + 8x (-8 * 5 + x * 5) + x = -30 + 8x (-40 + 5x) + x = -30 + 8x Combine like terms: 5x + x = 6x -40 + 6x = -30 + 8x Solving -40 + 6x = -30 + 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. -40 + 6x + -8x = -30 + 8x + -8x Combine like terms: 6x + -8x = -2x -40 + -2x = -30 + 8x + -8x Combine like terms: 8x + -8x = 0 -40 + -2x = -30 + 0 -40 + -2x = -30 Add '40' to each side of the equation. -40 + 40 + -2x = -30 + 40 Combine like terms: -40 + 40 = 0 0 + -2x = -30 + 40 -2x = -30 + 40 Combine like terms: -30 + 40 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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