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Simplifying 4(7x + -9) + -1(24x + -8) = 30 Reorder the terms: 4(-9 + 7x) + -1(24x + -8) = 30 (-9 * 4 + 7x * 4) + -1(24x + -8) = 30 (-36 + 28x) + -1(24x + -8) = 30 Reorder the terms: -36 + 28x + -1(-8 + 24x) = 30 -36 + 28x + (-8 * -1 + 24x * -1) = 30 -36 + 28x + (8 + -24x) = 30 Reorder the terms: -36 + 8 + 28x + -24x = 30 Combine like terms: -36 + 8 = -28 -28 + 28x + -24x = 30 Combine like terms: 28x + -24x = 4x -28 + 4x = 30 Solving -28 + 4x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 4x = 30 + 28 Combine like terms: -28 + 28 = 0 0 + 4x = 30 + 28 4x = 30 + 28 Combine like terms: 30 + 28 = 58 4x = 58 Divide each side by '4'. x = 14.5 Simplifying x = 14.5
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