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Simplifying 8(4x + -3) = 7(x + -6) + 7 Reorder the terms: 8(-3 + 4x) = 7(x + -6) + 7 (-3 * 8 + 4x * 8) = 7(x + -6) + 7 (-24 + 32x) = 7(x + -6) + 7 Reorder the terms: -24 + 32x = 7(-6 + x) + 7 -24 + 32x = (-6 * 7 + x * 7) + 7 -24 + 32x = (-42 + 7x) + 7 Reorder the terms: -24 + 32x = -42 + 7 + 7x Combine like terms: -42 + 7 = -35 -24 + 32x = -35 + 7x Solving -24 + 32x = -35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -24 + 32x + -7x = -35 + 7x + -7x Combine like terms: 32x + -7x = 25x -24 + 25x = -35 + 7x + -7x Combine like terms: 7x + -7x = 0 -24 + 25x = -35 + 0 -24 + 25x = -35 Add '24' to each side of the equation. -24 + 24 + 25x = -35 + 24 Combine like terms: -24 + 24 = 0 0 + 25x = -35 + 24 25x = -35 + 24 Combine like terms: -35 + 24 = -11 25x = -11 Divide each side by '25'. x = -0.44 Simplifying x = -0.44
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