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Simplifying -4.5x + 24 = 2x + 7 Reorder the terms: 24 + -4.5x = 2x + 7 Reorder the terms: 24 + -4.5x = 7 + 2x Solving 24 + -4.5x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 24 + -4.5x + -2x = 7 + 2x + -2x Combine like terms: -4.5x + -2x = -6.5x 24 + -6.5x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + -6.5x = 7 + 0 24 + -6.5x = 7 Add '-24' to each side of the equation. 24 + -24 + -6.5x = 7 + -24 Combine like terms: 24 + -24 = 0 0 + -6.5x = 7 + -24 -6.5x = 7 + -24 Combine like terms: 7 + -24 = -17 -6.5x = -17 Divide each side by '-6.5'. x = 2.615384615 Simplifying x = 2.615384615
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