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Simplifying 0.5x + 3.5 = 4x + -7 Reorder the terms: 3.5 + 0.5x = 4x + -7 Reorder the terms: 3.5 + 0.5x = -7 + 4x Solving 3.5 + 0.5x = -7 + 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. 3.5 + 0.5x + -4x = -7 + 4x + -4x Combine like terms: 0.5x + -4x = -3.5x 3.5 + -3.5x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 3.5 + -3.5x = -7 + 0 3.5 + -3.5x = -7 Add '-3.5' to each side of the equation. 3.5 + -3.5 + -3.5x = -7 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -3.5x = -7 + -3.5 -3.5x = -7 + -3.5 Combine like terms: -7 + -3.5 = -10.5 -3.5x = -10.5 Divide each side by '-3.5'. x = 3 Simplifying x = 3
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