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Simplifying 7.5 + x = 4.5 + 4x Solving 7.5 + x = 4.5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 7.5 + x + -4x = 4.5 + 4x + -4x Combine like terms: x + -4x = -3x 7.5 + -3x = 4.5 + 4x + -4x Combine like terms: 4x + -4x = 0 7.5 + -3x = 4.5 + 0 7.5 + -3x = 4.5 Add '-7.5' to each side of the equation. 7.5 + -7.5 + -3x = 4.5 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -3x = 4.5 + -7.5 -3x = 4.5 + -7.5 Combine like terms: 4.5 + -7.5 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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