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Simplifying 0.7x + -0.1 = 0.5 + -0.5(3 + -2x) Reorder the terms: -0.1 + 0.7x = 0.5 + -0.5(3 + -2x) -0.1 + 0.7x = 0.5 + (3 * -0.5 + -2x * -0.5) -0.1 + 0.7x = 0.5 + (-1.5 + 1x) Combine like terms: 0.5 + -1.5 = -1 -0.1 + 0.7x = -1 + 1x Solving -0.1 + 0.7x = -1 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -0.1 + 0.7x + -1x = -1 + 1x + -1x Combine like terms: 0.7x + -1x = -0.3x -0.1 + -0.3x = -1 + 1x + -1x Combine like terms: 1x + -1x = 0 -0.1 + -0.3x = -1 + 0 -0.1 + -0.3x = -1 Add '0.1' to each side of the equation. -0.1 + 0.1 + -0.3x = -1 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + -0.3x = -1 + 0.1 -0.3x = -1 + 0.1 Combine like terms: -1 + 0.1 = -0.9 -0.3x = -0.9 Divide each side by '-0.3'. x = 3 Simplifying x = 3
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