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Simplifying 1x + -3.5 = 8x + 7x + -24 Reorder the terms: -3.5 + 1x = 8x + 7x + -24 Reorder the terms: -3.5 + 1x = -24 + 8x + 7x Combine like terms: 8x + 7x = 15x -3.5 + 1x = -24 + 15x Solving -3.5 + 1x = -24 + 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. -3.5 + 1x + -15x = -24 + 15x + -15x Combine like terms: 1x + -15x = -14x -3.5 + -14x = -24 + 15x + -15x Combine like terms: 15x + -15x = 0 -3.5 + -14x = -24 + 0 -3.5 + -14x = -24 Add '3.5' to each side of the equation. -3.5 + 3.5 + -14x = -24 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + -14x = -24 + 3.5 -14x = -24 + 3.5 Combine like terms: -24 + 3.5 = -20.5 -14x = -20.5 Divide each side by '-14'. x = 1.464285714 Simplifying x = 1.464285714
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