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Simplifying 0.5x + 13 = 4x + -2 Reorder the terms: 13 + 0.5x = 4x + -2 Reorder the terms: 13 + 0.5x = -2 + 4x Solving 13 + 0.5x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 13 + 0.5x + -4x = -2 + 4x + -4x Combine like terms: 0.5x + -4x = -3.5x 13 + -3.5x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 13 + -3.5x = -2 + 0 13 + -3.5x = -2 Add '-13' to each side of the equation. 13 + -13 + -3.5x = -2 + -13 Combine like terms: 13 + -13 = 0 0 + -3.5x = -2 + -13 -3.5x = -2 + -13 Combine like terms: -2 + -13 = -15 -3.5x = -15 Divide each side by '-3.5'. x = 4.285714286 Simplifying x = 4.285714286
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