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Simplifying 0.5x + -7 = 0.1(x + 10) Reorder the terms: -7 + 0.5x = 0.1(x + 10) Reorder the terms: -7 + 0.5x = 0.1(10 + x) -7 + 0.5x = (10 * 0.1 + x * 0.1) -7 + 0.5x = (1 + 0.1x) Solving -7 + 0.5x = 1 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. -7 + 0.5x + -0.1x = 1 + 0.1x + -0.1x Combine like terms: 0.5x + -0.1x = 0.4x -7 + 0.4x = 1 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -7 + 0.4x = 1 + 0.0 -7 + 0.4x = 1 Add '7' to each side of the equation. -7 + 7 + 0.4x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 0.4x = 1 + 7 0.4x = 1 + 7 Combine like terms: 1 + 7 = 8 0.4x = 8 Divide each side by '0.4'. x = 20 Simplifying x = 20
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