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Simplifying 5x + -10 + -3x + 4 = 18x + -24 + 10 Reorder the terms: -10 + 4 + 5x + -3x = 18x + -24 + 10 Combine like terms: -10 + 4 = -6 -6 + 5x + -3x = 18x + -24 + 10 Combine like terms: 5x + -3x = 2x -6 + 2x = 18x + -24 + 10 Reorder the terms: -6 + 2x = -24 + 10 + 18x Combine like terms: -24 + 10 = -14 -6 + 2x = -14 + 18x Solving -6 + 2x = -14 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -6 + 2x + -18x = -14 + 18x + -18x Combine like terms: 2x + -18x = -16x -6 + -16x = -14 + 18x + -18x Combine like terms: 18x + -18x = 0 -6 + -16x = -14 + 0 -6 + -16x = -14 Add '6' to each side of the equation. -6 + 6 + -16x = -14 + 6 Combine like terms: -6 + 6 = 0 0 + -16x = -14 + 6 -16x = -14 + 6 Combine like terms: -14 + 6 = -8 -16x = -8 Divide each side by '-16'. x = 0.5 Simplifying x = 0.5
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