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Simplifying 30 + -4(20 + -2x) = 12(x + -6.5) 30 + (20 * -4 + -2x * -4) = 12(x + -6.5) 30 + (-80 + 8x) = 12(x + -6.5) Combine like terms: 30 + -80 = -50 -50 + 8x = 12(x + -6.5) Reorder the terms: -50 + 8x = 12(-6.5 + x) -50 + 8x = (-6.5 * 12 + x * 12) -50 + 8x = (-78 + 12x) Solving -50 + 8x = -78 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -50 + 8x + -12x = -78 + 12x + -12x Combine like terms: 8x + -12x = -4x -50 + -4x = -78 + 12x + -12x Combine like terms: 12x + -12x = 0 -50 + -4x = -78 + 0 -50 + -4x = -78 Add '50' to each side of the equation. -50 + 50 + -4x = -78 + 50 Combine like terms: -50 + 50 = 0 0 + -4x = -78 + 50 -4x = -78 + 50 Combine like terms: -78 + 50 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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