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Simplifying 15(x + -8) + -7(x + 4) = 3(3 + 8x) + -20x + 3 Reorder the terms: 15(-8 + x) + -7(x + 4) = 3(3 + 8x) + -20x + 3 (-8 * 15 + x * 15) + -7(x + 4) = 3(3 + 8x) + -20x + 3 (-120 + 15x) + -7(x + 4) = 3(3 + 8x) + -20x + 3 Reorder the terms: -120 + 15x + -7(4 + x) = 3(3 + 8x) + -20x + 3 -120 + 15x + (4 * -7 + x * -7) = 3(3 + 8x) + -20x + 3 -120 + 15x + (-28 + -7x) = 3(3 + 8x) + -20x + 3 Reorder the terms: -120 + -28 + 15x + -7x = 3(3 + 8x) + -20x + 3 Combine like terms: -120 + -28 = -148 -148 + 15x + -7x = 3(3 + 8x) + -20x + 3 Combine like terms: 15x + -7x = 8x -148 + 8x = 3(3 + 8x) + -20x + 3 -148 + 8x = (3 * 3 + 8x * 3) + -20x + 3 -148 + 8x = (9 + 24x) + -20x + 3 Reorder the terms: -148 + 8x = 9 + 3 + 24x + -20x Combine like terms: 9 + 3 = 12 -148 + 8x = 12 + 24x + -20x Combine like terms: 24x + -20x = 4x -148 + 8x = 12 + 4x Solving -148 + 8x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -148 + 8x + -4x = 12 + 4x + -4x Combine like terms: 8x + -4x = 4x -148 + 4x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -148 + 4x = 12 + 0 -148 + 4x = 12 Add '148' to each side of the equation. -148 + 148 + 4x = 12 + 148 Combine like terms: -148 + 148 = 0 0 + 4x = 12 + 148 4x = 12 + 148 Combine like terms: 12 + 148 = 160 4x = 160 Divide each side by '4'. x = 40 Simplifying x = 40
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