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Simplifying 0.75(-12x + -8) = x + 34 Reorder the terms: 0.75(-8 + -12x) = x + 34 (-8 * 0.75 + -12x * 0.75) = x + 34 (-6 + -9x) = x + 34 Reorder the terms: -6 + -9x = 34 + x Solving -6 + -9x = 34 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + -9x + -1x = 34 + x + -1x Combine like terms: -9x + -1x = -10x -6 + -10x = 34 + x + -1x Combine like terms: x + -1x = 0 -6 + -10x = 34 + 0 -6 + -10x = 34 Add '6' to each side of the equation. -6 + 6 + -10x = 34 + 6 Combine like terms: -6 + 6 = 0 0 + -10x = 34 + 6 -10x = 34 + 6 Combine like terms: 34 + 6 = 40 -10x = 40 Divide each side by '-10'. x = -4 Simplifying x = -4
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