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Simplifying 0.7(3x + 6) = 1.5(x + 2) Reorder the terms: 0.7(6 + 3x) = 1.5(x + 2) (6 * 0.7 + 3x * 0.7) = 1.5(x + 2) (4.2 + 2.1x) = 1.5(x + 2) Reorder the terms: 4.2 + 2.1x = 1.5(2 + x) 4.2 + 2.1x = (2 * 1.5 + x * 1.5) 4.2 + 2.1x = (3 + 1.5x) Solving 4.2 + 2.1x = 3 + 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. 4.2 + 2.1x + -1.5x = 3 + 1.5x + -1.5x Combine like terms: 2.1x + -1.5x = 0.6x 4.2 + 0.6x = 3 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 4.2 + 0.6x = 3 + 0.0 4.2 + 0.6x = 3 Add '-4.2' to each side of the equation. 4.2 + -4.2 + 0.6x = 3 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + 0.6x = 3 + -4.2 0.6x = 3 + -4.2 Combine like terms: 3 + -4.2 = -1.2 0.6x = -1.2 Divide each side by '0.6'. x = -2 Simplifying x = -2
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