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Simplifying 8(5x + -11) = 4(2x + -1) Reorder the terms: 8(-11 + 5x) = 4(2x + -1) (-11 * 8 + 5x * 8) = 4(2x + -1) (-88 + 40x) = 4(2x + -1) Reorder the terms: -88 + 40x = 4(-1 + 2x) -88 + 40x = (-1 * 4 + 2x * 4) -88 + 40x = (-4 + 8x) Solving -88 + 40x = -4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -88 + 40x + -8x = -4 + 8x + -8x Combine like terms: 40x + -8x = 32x -88 + 32x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 -88 + 32x = -4 + 0 -88 + 32x = -4 Add '88' to each side of the equation. -88 + 88 + 32x = -4 + 88 Combine like terms: -88 + 88 = 0 0 + 32x = -4 + 88 32x = -4 + 88 Combine like terms: -4 + 88 = 84 32x = 84 Divide each side by '32'. x = 2.625 Simplifying x = 2.625
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