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Simplifying 3x + -5 = 4x + 0.5(8x + -6) Reorder the terms: -5 + 3x = 4x + 0.5(8x + -6) Reorder the terms: -5 + 3x = 4x + 0.5(-6 + 8x) -5 + 3x = 4x + (-6 * 0.5 + 8x * 0.5) -5 + 3x = 4x + (-3 + 4x) Reorder the terms: -5 + 3x = -3 + 4x + 4x Combine like terms: 4x + 4x = 8x -5 + 3x = -3 + 8x Solving -5 + 3x = -3 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + 3x + -8x = -3 + 8x + -8x Combine like terms: 3x + -8x = -5x -5 + -5x = -3 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -5x = -3 + 0 -5 + -5x = -3 Add '5' to each side of the equation. -5 + 5 + -5x = -3 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = -3 + 5 -5x = -3 + 5 Combine like terms: -3 + 5 = 2 -5x = 2 Divide each side by '-5'. x = -0.4 Simplifying x = -0.4
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