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Simplifying 4x + 7.5 = 6x + 1.5 Reorder the terms: 7.5 + 4x = 6x + 1.5 Reorder the terms: 7.5 + 4x = 1.5 + 6x Solving 7.5 + 4x = 1.5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7.5 + 4x + -6x = 1.5 + 6x + -6x Combine like terms: 4x + -6x = -2x 7.5 + -2x = 1.5 + 6x + -6x Combine like terms: 6x + -6x = 0 7.5 + -2x = 1.5 + 0 7.5 + -2x = 1.5 Add '-7.5' to each side of the equation. 7.5 + -7.5 + -2x = 1.5 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -2x = 1.5 + -7.5 -2x = 1.5 + -7.5 Combine like terms: 1.5 + -7.5 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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