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Simplifying 8(x + -6) + 24x + 4 = 2(4x + 15) + -4x + 24 Reorder the terms: 8(-6 + x) + 24x + 4 = 2(4x + 15) + -4x + 24 (-6 * 8 + x * 8) + 24x + 4 = 2(4x + 15) + -4x + 24 (-48 + 8x) + 24x + 4 = 2(4x + 15) + -4x + 24 Reorder the terms: -48 + 4 + 8x + 24x = 2(4x + 15) + -4x + 24 Combine like terms: -48 + 4 = -44 -44 + 8x + 24x = 2(4x + 15) + -4x + 24 Combine like terms: 8x + 24x = 32x -44 + 32x = 2(4x + 15) + -4x + 24 Reorder the terms: -44 + 32x = 2(15 + 4x) + -4x + 24 -44 + 32x = (15 * 2 + 4x * 2) + -4x + 24 -44 + 32x = (30 + 8x) + -4x + 24 Reorder the terms: -44 + 32x = 30 + 24 + 8x + -4x Combine like terms: 30 + 24 = 54 -44 + 32x = 54 + 8x + -4x Combine like terms: 8x + -4x = 4x -44 + 32x = 54 + 4x Solving -44 + 32x = 54 + 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. -44 + 32x + -4x = 54 + 4x + -4x Combine like terms: 32x + -4x = 28x -44 + 28x = 54 + 4x + -4x Combine like terms: 4x + -4x = 0 -44 + 28x = 54 + 0 -44 + 28x = 54 Add '44' to each side of the equation. -44 + 44 + 28x = 54 + 44 Combine like terms: -44 + 44 = 0 0 + 28x = 54 + 44 28x = 54 + 44 Combine like terms: 54 + 44 = 98 28x = 98 Divide each side by '28'. x = 3.5 Simplifying x = 3.5
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