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Simplifying 15x + 21 + -4.5x + -4.5 = 18x + -12 Reorder the terms: 21 + -4.5 + 15x + -4.5x = 18x + -12 Combine like terms: 21 + -4.5 = 16.5 16.5 + 15x + -4.5x = 18x + -12 Combine like terms: 15x + -4.5x = 10.5x 16.5 + 10.5x = 18x + -12 Reorder the terms: 16.5 + 10.5x = -12 + 18x Solving 16.5 + 10.5x = -12 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 16.5 + 10.5x + -18x = -12 + 18x + -18x Combine like terms: 10.5x + -18x = -7.5x 16.5 + -7.5x = -12 + 18x + -18x Combine like terms: 18x + -18x = 0 16.5 + -7.5x = -12 + 0 16.5 + -7.5x = -12 Add '-16.5' to each side of the equation. 16.5 + -16.5 + -7.5x = -12 + -16.5 Combine like terms: 16.5 + -16.5 = 0.0 0.0 + -7.5x = -12 + -16.5 -7.5x = -12 + -16.5 Combine like terms: -12 + -16.5 = -28.5 -7.5x = -28.5 Divide each side by '-7.5'. x = 3.8 Simplifying x = 3.8
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