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Simplifying 4x + 1.5 = 2x + 10.5 Reorder the terms: 1.5 + 4x = 2x + 10.5 Reorder the terms: 1.5 + 4x = 10.5 + 2x Solving 1.5 + 4x = 10.5 + 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. 1.5 + 4x + -2x = 10.5 + 2x + -2x Combine like terms: 4x + -2x = 2x 1.5 + 2x = 10.5 + 2x + -2x Combine like terms: 2x + -2x = 0 1.5 + 2x = 10.5 + 0 1.5 + 2x = 10.5 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 2x = 10.5 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 2x = 10.5 + -1.5 2x = 10.5 + -1.5 Combine like terms: 10.5 + -1.5 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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