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Simplifying 4.5(2x + -10) = 12(0.5x + -5) Reorder the terms: 4.5(-10 + 2x) = 12(0.5x + -5) (-10 * 4.5 + 2x * 4.5) = 12(0.5x + -5) (-45 + 9x) = 12(0.5x + -5) Reorder the terms: -45 + 9x = 12(-5 + 0.5x) -45 + 9x = (-5 * 12 + 0.5x * 12) -45 + 9x = (-60 + 6x) Solving -45 + 9x = -60 + 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. -45 + 9x + -6x = -60 + 6x + -6x Combine like terms: 9x + -6x = 3x -45 + 3x = -60 + 6x + -6x Combine like terms: 6x + -6x = 0 -45 + 3x = -60 + 0 -45 + 3x = -60 Add '45' to each side of the equation. -45 + 45 + 3x = -60 + 45 Combine like terms: -45 + 45 = 0 0 + 3x = -60 + 45 3x = -60 + 45 Combine like terms: -60 + 45 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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