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Simplifying 4x + -8x + 32 = -16x + -48 Reorder the terms: 32 + 4x + -8x = -16x + -48 Combine like terms: 4x + -8x = -4x 32 + -4x = -16x + -48 Reorder the terms: 32 + -4x = -48 + -16x Solving 32 + -4x = -48 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 32 + -4x + 16x = -48 + -16x + 16x Combine like terms: -4x + 16x = 12x 32 + 12x = -48 + -16x + 16x Combine like terms: -16x + 16x = 0 32 + 12x = -48 + 0 32 + 12x = -48 Add '-32' to each side of the equation. 32 + -32 + 12x = -48 + -32 Combine like terms: 32 + -32 = 0 0 + 12x = -48 + -32 12x = -48 + -32 Combine like terms: -48 + -32 = -80 12x = -80 Divide each side by '12'. x = -6.666666667 Simplifying x = -6.666666667
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