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Simplifying 8x + 4(12 + -5x) = 100 + x + 32 8x + (12 * 4 + -5x * 4) = 100 + x + 32 8x + (48 + -20x) = 100 + x + 32 Reorder the terms: 48 + 8x + -20x = 100 + x + 32 Combine like terms: 8x + -20x = -12x 48 + -12x = 100 + x + 32 Reorder the terms: 48 + -12x = 100 + 32 + x Combine like terms: 100 + 32 = 132 48 + -12x = 132 + x Solving 48 + -12x = 132 + 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. 48 + -12x + -1x = 132 + x + -1x Combine like terms: -12x + -1x = -13x 48 + -13x = 132 + x + -1x Combine like terms: x + -1x = 0 48 + -13x = 132 + 0 48 + -13x = 132 Add '-48' to each side of the equation. 48 + -48 + -13x = 132 + -48 Combine like terms: 48 + -48 = 0 0 + -13x = 132 + -48 -13x = 132 + -48 Combine like terms: 132 + -48 = 84 -13x = 84 Divide each side by '-13'. x = -6.461538462 Simplifying x = -6.461538462
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