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Simplifying 4x + 28 + x + 24 + -8x + 20 = 15x + -6 Reorder the terms: 28 + 24 + 20 + 4x + x + -8x = 15x + -6 Combine like terms: 28 + 24 = 52 52 + 20 + 4x + x + -8x = 15x + -6 Combine like terms: 52 + 20 = 72 72 + 4x + x + -8x = 15x + -6 Combine like terms: 4x + x = 5x 72 + 5x + -8x = 15x + -6 Combine like terms: 5x + -8x = -3x 72 + -3x = 15x + -6 Reorder the terms: 72 + -3x = -6 + 15x Solving 72 + -3x = -6 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 72 + -3x + -15x = -6 + 15x + -15x Combine like terms: -3x + -15x = -18x 72 + -18x = -6 + 15x + -15x Combine like terms: 15x + -15x = 0 72 + -18x = -6 + 0 72 + -18x = -6 Add '-72' to each side of the equation. 72 + -72 + -18x = -6 + -72 Combine like terms: 72 + -72 = 0 0 + -18x = -6 + -72 -18x = -6 + -72 Combine like terms: -6 + -72 = -78 -18x = -78 Divide each side by '-18'. x = 4.333333333 Simplifying x = 4.333333333
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