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Simplifying 5(1.2x + 6) = 5(x + -3) Reorder the terms: 5(6 + 1.2x) = 5(x + -3) (6 * 5 + 1.2x * 5) = 5(x + -3) (30 + 6x) = 5(x + -3) Reorder the terms: 30 + 6x = 5(-3 + x) 30 + 6x = (-3 * 5 + x * 5) 30 + 6x = (-15 + 5x) Solving 30 + 6x = -15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 30 + 6x + -5x = -15 + 5x + -5x Combine like terms: 6x + -5x = 1x 30 + 1x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 30 + 1x = -15 + 0 30 + 1x = -15 Add '-30' to each side of the equation. 30 + -30 + 1x = -15 + -30 Combine like terms: 30 + -30 = 0 0 + 1x = -15 + -30 1x = -15 + -30 Combine like terms: -15 + -30 = -45 1x = -45 Divide each side by '1'. x = -45 Simplifying x = -45
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