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Simplifying 0.6(7x + 14) = 1.5 + -1(x + 2) Reorder the terms: 0.6(14 + 7x) = 1.5 + -1(x + 2) (14 * 0.6 + 7x * 0.6) = 1.5 + -1(x + 2) (8.4 + 4.2x) = 1.5 + -1(x + 2) Reorder the terms: 8.4 + 4.2x = 1.5 + -1(2 + x) 8.4 + 4.2x = 1.5 + (2 * -1 + x * -1) 8.4 + 4.2x = 1.5 + (-2 + -1x) Combine like terms: 1.5 + -2 = -0.5 8.4 + 4.2x = -0.5 + -1x Solving 8.4 + 4.2x = -0.5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 8.4 + 4.2x + x = -0.5 + -1x + x Combine like terms: 4.2x + x = 5.2x 8.4 + 5.2x = -0.5 + -1x + x Combine like terms: -1x + x = 0 8.4 + 5.2x = -0.5 + 0 8.4 + 5.2x = -0.5 Add '-8.4' to each side of the equation. 8.4 + -8.4 + 5.2x = -0.5 + -8.4 Combine like terms: 8.4 + -8.4 = 0.0 0.0 + 5.2x = -0.5 + -8.4 5.2x = -0.5 + -8.4 Combine like terms: -0.5 + -8.4 = -8.9 5.2x = -8.9 Divide each side by '5.2'. x = -1.711538462 Simplifying x = -1.711538462
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