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Simplifying 0.7(3x + -2) + -1(5x + 1) = 0.5 Reorder the terms: 0.7(-2 + 3x) + -1(5x + 1) = 0.5 (-2 * 0.7 + 3x * 0.7) + -1(5x + 1) = 0.5 (-1.4 + 2.1x) + -1(5x + 1) = 0.5 Reorder the terms: -1.4 + 2.1x + -1(1 + 5x) = 0.5 -1.4 + 2.1x + (1 * -1 + 5x * -1) = 0.5 -1.4 + 2.1x + (-1 + -5x) = 0.5 Reorder the terms: -1.4 + -1 + 2.1x + -5x = 0.5 Combine like terms: -1.4 + -1 = -2.4 -2.4 + 2.1x + -5x = 0.5 Combine like terms: 2.1x + -5x = -2.9x -2.4 + -2.9x = 0.5 Solving -2.4 + -2.9x = 0.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.4' to each side of the equation. -2.4 + 2.4 + -2.9x = 0.5 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + -2.9x = 0.5 + 2.4 -2.9x = 0.5 + 2.4 Combine like terms: 0.5 + 2.4 = 2.9 -2.9x = 2.9 Divide each side by '-2.9'. x = -1 Simplifying x = -1
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