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Simplifying 6(-4x + 5) = 8(-7x + 4) + -5 Reorder the terms: 6(5 + -4x) = 8(-7x + 4) + -5 (5 * 6 + -4x * 6) = 8(-7x + 4) + -5 (30 + -24x) = 8(-7x + 4) + -5 Reorder the terms: 30 + -24x = 8(4 + -7x) + -5 30 + -24x = (4 * 8 + -7x * 8) + -5 30 + -24x = (32 + -56x) + -5 Reorder the terms: 30 + -24x = 32 + -5 + -56x Combine like terms: 32 + -5 = 27 30 + -24x = 27 + -56x Solving 30 + -24x = 27 + -56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56x' to each side of the equation. 30 + -24x + 56x = 27 + -56x + 56x Combine like terms: -24x + 56x = 32x 30 + 32x = 27 + -56x + 56x Combine like terms: -56x + 56x = 0 30 + 32x = 27 + 0 30 + 32x = 27 Add '-30' to each side of the equation. 30 + -30 + 32x = 27 + -30 Combine like terms: 30 + -30 = 0 0 + 32x = 27 + -30 32x = 27 + -30 Combine like terms: 27 + -30 = -3 32x = -3 Divide each side by '32'. x = -0.09375 Simplifying x = -0.09375
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