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Simplifying 10(0.1x + -0.3) = 0.2(x + 21) Reorder the terms: 10(-0.3 + 0.1x) = 0.2(x + 21) (-0.3 * 10 + 0.1x * 10) = 0.2(x + 21) (-3 + 1x) = 0.2(x + 21) Reorder the terms: -3 + 1x = 0.2(21 + x) -3 + 1x = (21 * 0.2 + x * 0.2) -3 + 1x = (4.2 + 0.2x) Solving -3 + 1x = 4.2 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -3 + 1x + -0.2x = 4.2 + 0.2x + -0.2x Combine like terms: 1x + -0.2x = 0.8x -3 + 0.8x = 4.2 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -3 + 0.8x = 4.2 + 0.0 -3 + 0.8x = 4.2 Add '3' to each side of the equation. -3 + 3 + 0.8x = 4.2 + 3 Combine like terms: -3 + 3 = 0 0 + 0.8x = 4.2 + 3 0.8x = 4.2 + 3 Combine like terms: 4.2 + 3 = 7.2 0.8x = 7.2 Divide each side by '0.8'. x = 9 Simplifying x = 9
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