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Simplifying 0.5(4x + -6) = 10x + 13 Reorder the terms: 0.5(-6 + 4x) = 10x + 13 (-6 * 0.5 + 4x * 0.5) = 10x + 13 (-3 + 2x) = 10x + 13 Reorder the terms: -3 + 2x = 13 + 10x Solving -3 + 2x = 13 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -3 + 2x + -10x = 13 + 10x + -10x Combine like terms: 2x + -10x = -8x -3 + -8x = 13 + 10x + -10x Combine like terms: 10x + -10x = 0 -3 + -8x = 13 + 0 -3 + -8x = 13 Add '3' to each side of the equation. -3 + 3 + -8x = 13 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = 13 + 3 -8x = 13 + 3 Combine like terms: 13 + 3 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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