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Simplifying 4(8x + -2) + -5(3x + 5) = 18 Reorder the terms: 4(-2 + 8x) + -5(3x + 5) = 18 (-2 * 4 + 8x * 4) + -5(3x + 5) = 18 (-8 + 32x) + -5(3x + 5) = 18 Reorder the terms: -8 + 32x + -5(5 + 3x) = 18 -8 + 32x + (5 * -5 + 3x * -5) = 18 -8 + 32x + (-25 + -15x) = 18 Reorder the terms: -8 + -25 + 32x + -15x = 18 Combine like terms: -8 + -25 = -33 -33 + 32x + -15x = 18 Combine like terms: 32x + -15x = 17x -33 + 17x = 18 Solving -33 + 17x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 17x = 18 + 33 Combine like terms: -33 + 33 = 0 0 + 17x = 18 + 33 17x = 18 + 33 Combine like terms: 18 + 33 = 51 17x = 51 Divide each side by '17'. x = 3 Simplifying x = 3
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