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Simplifying 0.5x + 1 = 5 + -0.7(x + -2) Reorder the terms: 1 + 0.5x = 5 + -0.7(x + -2) Reorder the terms: 1 + 0.5x = 5 + -0.7(-2 + x) 1 + 0.5x = 5 + (-2 * -0.7 + x * -0.7) 1 + 0.5x = 5 + (1.4 + -0.7x) Combine like terms: 5 + 1.4 = 6.4 1 + 0.5x = 6.4 + -0.7x Solving 1 + 0.5x = 6.4 + -0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.7x' to each side of the equation. 1 + 0.5x + 0.7x = 6.4 + -0.7x + 0.7x Combine like terms: 0.5x + 0.7x = 1.2x 1 + 1.2x = 6.4 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 1 + 1.2x = 6.4 + 0.0 1 + 1.2x = 6.4 Add '-1' to each side of the equation. 1 + -1 + 1.2x = 6.4 + -1 Combine like terms: 1 + -1 = 0 0 + 1.2x = 6.4 + -1 1.2x = 6.4 + -1 Combine like terms: 6.4 + -1 = 5.4 1.2x = 5.4 Divide each side by '1.2'. x = 4.5 Simplifying x = 4.5
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