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Simplifying 0.5(7x + 14) = 1.3 + -1(x + 2) Reorder the terms: 0.5(14 + 7x) = 1.3 + -1(x + 2) (14 * 0.5 + 7x * 0.5) = 1.3 + -1(x + 2) (7 + 3.5x) = 1.3 + -1(x + 2) Reorder the terms: 7 + 3.5x = 1.3 + -1(2 + x) 7 + 3.5x = 1.3 + (2 * -1 + x * -1) 7 + 3.5x = 1.3 + (-2 + -1x) Combine like terms: 1.3 + -2 = -0.7 7 + 3.5x = -0.7 + -1x Solving 7 + 3.5x = -0.7 + -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. 7 + 3.5x + x = -0.7 + -1x + x Combine like terms: 3.5x + x = 4.5x 7 + 4.5x = -0.7 + -1x + x Combine like terms: -1x + x = 0 7 + 4.5x = -0.7 + 0 7 + 4.5x = -0.7 Add '-7' to each side of the equation. 7 + -7 + 4.5x = -0.7 + -7 Combine like terms: 7 + -7 = 0 0 + 4.5x = -0.7 + -7 4.5x = -0.7 + -7 Combine like terms: -0.7 + -7 = -7.7 4.5x = -7.7 Divide each side by '4.5'. x = -1.711111111 Simplifying x = -1.711111111
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