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Simplifying 2x + 7 = 0.5(5x + -4) Reorder the terms: 7 + 2x = 0.5(5x + -4) Reorder the terms: 7 + 2x = 0.5(-4 + 5x) 7 + 2x = (-4 * 0.5 + 5x * 0.5) 7 + 2x = (-2 + 2.5x) Solving 7 + 2x = -2 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 7 + 2x + -2.5x = -2 + 2.5x + -2.5x Combine like terms: 2x + -2.5x = -0.5x 7 + -0.5x = -2 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 7 + -0.5x = -2 + 0.0 7 + -0.5x = -2 Add '-7' to each side of the equation. 7 + -7 + -0.5x = -2 + -7 Combine like terms: 7 + -7 = 0 0 + -0.5x = -2 + -7 -0.5x = -2 + -7 Combine like terms: -2 + -7 = -9 -0.5x = -9 Divide each side by '-0.5'. x = 18 Simplifying x = 18
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