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Simplifying 8(2x + -11) = -4(-7x + 1) Reorder the terms: 8(-11 + 2x) = -4(-7x + 1) (-11 * 8 + 2x * 8) = -4(-7x + 1) (-88 + 16x) = -4(-7x + 1) Reorder the terms: -88 + 16x = -4(1 + -7x) -88 + 16x = (1 * -4 + -7x * -4) -88 + 16x = (-4 + 28x) Solving -88 + 16x = -4 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -88 + 16x + -28x = -4 + 28x + -28x Combine like terms: 16x + -28x = -12x -88 + -12x = -4 + 28x + -28x Combine like terms: 28x + -28x = 0 -88 + -12x = -4 + 0 -88 + -12x = -4 Add '88' to each side of the equation. -88 + 88 + -12x = -4 + 88 Combine like terms: -88 + 88 = 0 0 + -12x = -4 + 88 -12x = -4 + 88 Combine like terms: -4 + 88 = 84 -12x = 84 Divide each side by '-12'. x = -7 Simplifying x = -7
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