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Simplifying 0.5(18x + -8) = 6x + -7 Reorder the terms: 0.5(-8 + 18x) = 6x + -7 (-8 * 0.5 + 18x * 0.5) = 6x + -7 (-4 + 9x) = 6x + -7 Reorder the terms: -4 + 9x = -7 + 6x Solving -4 + 9x = -7 + 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. -4 + 9x + -6x = -7 + 6x + -6x Combine like terms: 9x + -6x = 3x -4 + 3x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + 3x = -7 + 0 -4 + 3x = -7 Add '4' to each side of the equation. -4 + 4 + 3x = -7 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = -7 + 4 3x = -7 + 4 Combine like terms: -7 + 4 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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