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Simplifying 0.1(0.2 + -0.3) + 8 = x + -0.3 + 8 Combine like terms: 0.2 + -0.3 = -0.1 0.1(-0.1) + 8 = x + -0.3 + 8 Multiply 0.1 * -0.1 -0.01 + 8 = x + -0.3 + 8 Combine like terms: -0.01 + 8 = 7.99 7.99 = x + -0.3 + 8 Reorder the terms: 7.99 = -0.3 + 8 + x Combine like terms: -0.3 + 8 = 7.7 7.99 = 7.7 + x Solving 7.99 = 7.7 + x 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. 7.99 + -1x = 7.7 + x + -1x Combine like terms: x + -1x = 0 7.99 + -1x = 7.7 + 0 7.99 + -1x = 7.7 Add '-7.99' to each side of the equation. 7.99 + -7.99 + -1x = 7.7 + -7.99 Combine like terms: 7.99 + -7.99 = 0.00 0.00 + -1x = 7.7 + -7.99 -1x = 7.7 + -7.99 Combine like terms: 7.7 + -7.99 = -0.29 -1x = -0.29 Divide each side by '-1'. x = 0.29 Simplifying x = 0.29
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