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Simplifying x + 0.5x + 8 = 7(x + 4.5) Reorder the terms: 8 + x + 0.5x = 7(x + 4.5) Combine like terms: x + 0.5x = 1.5x 8 + 1.5x = 7(x + 4.5) Reorder the terms: 8 + 1.5x = 7(4.5 + x) 8 + 1.5x = (4.5 * 7 + x * 7) 8 + 1.5x = (31.5 + 7x) Solving 8 + 1.5x = 31.5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8 + 1.5x + -7x = 31.5 + 7x + -7x Combine like terms: 1.5x + -7x = -5.5x 8 + -5.5x = 31.5 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + -5.5x = 31.5 + 0 8 + -5.5x = 31.5 Add '-8' to each side of the equation. 8 + -8 + -5.5x = 31.5 + -8 Combine like terms: 8 + -8 = 0 0 + -5.5x = 31.5 + -8 -5.5x = 31.5 + -8 Combine like terms: 31.5 + -8 = 23.5 -5.5x = 23.5 Divide each side by '-5.5'. x = -4.272727273 Simplifying x = -4.272727273
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