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Simplifying 0.7x + -10 = 3.5x + -24 Reorder the terms: -10 + 0.7x = 3.5x + -24 Reorder the terms: -10 + 0.7x = -24 + 3.5x Solving -10 + 0.7x = -24 + 3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5x' to each side of the equation. -10 + 0.7x + -3.5x = -24 + 3.5x + -3.5x Combine like terms: 0.7x + -3.5x = -2.8x -10 + -2.8x = -24 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 -10 + -2.8x = -24 + 0.0 -10 + -2.8x = -24 Add '10' to each side of the equation. -10 + 10 + -2.8x = -24 + 10 Combine like terms: -10 + 10 = 0 0 + -2.8x = -24 + 10 -2.8x = -24 + 10 Combine like terms: -24 + 10 = -14 -2.8x = -14 Divide each side by '-2.8'. x = 5 Simplifying x = 5
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