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Simplifying 0.9x + -18 = 1.5x + -21 Reorder the terms: -18 + 0.9x = 1.5x + -21 Reorder the terms: -18 + 0.9x = -21 + 1.5x Solving -18 + 0.9x = -21 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. -18 + 0.9x + -1.5x = -21 + 1.5x + -1.5x Combine like terms: 0.9x + -1.5x = -0.6x -18 + -0.6x = -21 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -18 + -0.6x = -21 + 0.0 -18 + -0.6x = -21 Add '18' to each side of the equation. -18 + 18 + -0.6x = -21 + 18 Combine like terms: -18 + 18 = 0 0 + -0.6x = -21 + 18 -0.6x = -21 + 18 Combine like terms: -21 + 18 = -3 -0.6x = -3 Divide each side by '-0.6'. x = 5 Simplifying x = 5
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