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Simplifying 8(3x + -4) = 7(x + -5) + 4 Reorder the terms: 8(-4 + 3x) = 7(x + -5) + 4 (-4 * 8 + 3x * 8) = 7(x + -5) + 4 (-32 + 24x) = 7(x + -5) + 4 Reorder the terms: -32 + 24x = 7(-5 + x) + 4 -32 + 24x = (-5 * 7 + x * 7) + 4 -32 + 24x = (-35 + 7x) + 4 Reorder the terms: -32 + 24x = -35 + 4 + 7x Combine like terms: -35 + 4 = -31 -32 + 24x = -31 + 7x Solving -32 + 24x = -31 + 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. -32 + 24x + -7x = -31 + 7x + -7x Combine like terms: 24x + -7x = 17x -32 + 17x = -31 + 7x + -7x Combine like terms: 7x + -7x = 0 -32 + 17x = -31 + 0 -32 + 17x = -31 Add '32' to each side of the equation. -32 + 32 + 17x = -31 + 32 Combine like terms: -32 + 32 = 0 0 + 17x = -31 + 32 17x = -31 + 32 Combine like terms: -31 + 32 = 1 17x = 1 Divide each side by '17'. x = 0.05882352941 Simplifying x = 0.05882352941
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