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Simplifying 6(-5x + 7) = 8(4x + -6) Reorder the terms: 6(7 + -5x) = 8(4x + -6) (7 * 6 + -5x * 6) = 8(4x + -6) (42 + -30x) = 8(4x + -6) Reorder the terms: 42 + -30x = 8(-6 + 4x) 42 + -30x = (-6 * 8 + 4x * 8) 42 + -30x = (-48 + 32x) Solving 42 + -30x = -48 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 42 + -30x + -32x = -48 + 32x + -32x Combine like terms: -30x + -32x = -62x 42 + -62x = -48 + 32x + -32x Combine like terms: 32x + -32x = 0 42 + -62x = -48 + 0 42 + -62x = -48 Add '-42' to each side of the equation. 42 + -42 + -62x = -48 + -42 Combine like terms: 42 + -42 = 0 0 + -62x = -48 + -42 -62x = -48 + -42 Combine like terms: -48 + -42 = -90 -62x = -90 Divide each side by '-62'. x = 1.451612903 Simplifying x = 1.451612903
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