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Simplifying -4x + 10 = 0.5(x + -7) Reorder the terms: 10 + -4x = 0.5(x + -7) Reorder the terms: 10 + -4x = 0.5(-7 + x) 10 + -4x = (-7 * 0.5 + x * 0.5) 10 + -4x = (-3.5 + 0.5x) Solving 10 + -4x = -3.5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 10 + -4x + -0.5x = -3.5 + 0.5x + -0.5x Combine like terms: -4x + -0.5x = -4.5x 10 + -4.5x = -3.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 10 + -4.5x = -3.5 + 0.0 10 + -4.5x = -3.5 Add '-10' to each side of the equation. 10 + -10 + -4.5x = -3.5 + -10 Combine like terms: 10 + -10 = 0 0 + -4.5x = -3.5 + -10 -4.5x = -3.5 + -10 Combine like terms: -3.5 + -10 = -13.5 -4.5x = -13.5 Divide each side by '-4.5'. x = 3 Simplifying x = 3
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