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Simplifying 3x + -7 = 4.5x + -51 Reorder the terms: -7 + 3x = 4.5x + -51 Reorder the terms: -7 + 3x = -51 + 4.5x Solving -7 + 3x = -51 + 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. -7 + 3x + -4.5x = -51 + 4.5x + -4.5x Combine like terms: 3x + -4.5x = -1.5x -7 + -1.5x = -51 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 -7 + -1.5x = -51 + 0.0 -7 + -1.5x = -51 Add '7' to each side of the equation. -7 + 7 + -1.5x = -51 + 7 Combine like terms: -7 + 7 = 0 0 + -1.5x = -51 + 7 -1.5x = -51 + 7 Combine like terms: -51 + 7 = -44 -1.5x = -44 Divide each side by '-1.5'. x = 29.33333333 Simplifying x = 29.33333333
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