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Simplifying -0.5(x + 2) = 0.7(2x + 1) Reorder the terms: -0.5(2 + x) = 0.7(2x + 1) (2 * -0.5 + x * -0.5) = 0.7(2x + 1) (-1 + -0.5x) = 0.7(2x + 1) Reorder the terms: -1 + -0.5x = 0.7(1 + 2x) -1 + -0.5x = (1 * 0.7 + 2x * 0.7) -1 + -0.5x = (0.7 + 1.4x) Solving -1 + -0.5x = 0.7 + 1.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4x' to each side of the equation. -1 + -0.5x + -1.4x = 0.7 + 1.4x + -1.4x Combine like terms: -0.5x + -1.4x = -1.9x -1 + -1.9x = 0.7 + 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 -1 + -1.9x = 0.7 + 0.0 -1 + -1.9x = 0.7 Add '1' to each side of the equation. -1 + 1 + -1.9x = 0.7 + 1 Combine like terms: -1 + 1 = 0 0 + -1.9x = 0.7 + 1 -1.9x = 0.7 + 1 Combine like terms: 0.7 + 1 = 1.7 -1.9x = 1.7 Divide each side by '-1.9'. x = -0.8947368421 Simplifying x = -0.8947368421
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