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Simplifying 16(-11 + -2x) + -15x = 0.75(-16x + -52) (-11 * 16 + -2x * 16) + -15x = 0.75(-16x + -52) (-176 + -32x) + -15x = 0.75(-16x + -52) Combine like terms: -32x + -15x = -47x -176 + -47x = 0.75(-16x + -52) Reorder the terms: -176 + -47x = 0.75(-52 + -16x) -176 + -47x = (-52 * 0.75 + -16x * 0.75) -176 + -47x = (-39 + -12x) Solving -176 + -47x = -39 + -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. -176 + -47x + 12x = -39 + -12x + 12x Combine like terms: -47x + 12x = -35x -176 + -35x = -39 + -12x + 12x Combine like terms: -12x + 12x = 0 -176 + -35x = -39 + 0 -176 + -35x = -39 Add '176' to each side of the equation. -176 + 176 + -35x = -39 + 176 Combine like terms: -176 + 176 = 0 0 + -35x = -39 + 176 -35x = -39 + 176 Combine like terms: -39 + 176 = 137 -35x = 137 Divide each side by '-35'. x = -3.914285714 Simplifying x = -3.914285714
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