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Simplifying 1.5x + 10 = 4.5x + -5 Reorder the terms: 10 + 1.5x = 4.5x + -5 Reorder the terms: 10 + 1.5x = -5 + 4.5x Solving 10 + 1.5x = -5 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. 10 + 1.5x + -4.5x = -5 + 4.5x + -4.5x Combine like terms: 1.5x + -4.5x = -3x 10 + -3x = -5 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 10 + -3x = -5 + 0.0 10 + -3x = -5 Add '-10' to each side of the equation. 10 + -10 + -3x = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = -5 + -10 -3x = -5 + -10 Combine like terms: -5 + -10 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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