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Simplifying 0.1(x + -2) + 0.03(x + -4) = 0.02(10) Reorder the terms: 0.1(-2 + x) + 0.03(x + -4) = 0.02(10) (-2 * 0.1 + x * 0.1) + 0.03(x + -4) = 0.02(10) (-0.2 + 0.1x) + 0.03(x + -4) = 0.02(10) Reorder the terms: -0.2 + 0.1x + 0.03(-4 + x) = 0.02(10) -0.2 + 0.1x + (-4 * 0.03 + x * 0.03) = 0.02(10) -0.2 + 0.1x + (-0.12 + 0.03x) = 0.02(10) Reorder the terms: -0.2 + -0.12 + 0.1x + 0.03x = 0.02(10) Combine like terms: -0.2 + -0.12 = -0.32 -0.32 + 0.1x + 0.03x = 0.02(10) Combine like terms: 0.1x + 0.03x = 0.13x -0.32 + 0.13x = 0.02(10) Multiply 0.02 * 10 -0.32 + 0.13x = 0.2 Solving -0.32 + 0.13x = 0.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.32' to each side of the equation. -0.32 + 0.32 + 0.13x = 0.2 + 0.32 Combine like terms: -0.32 + 0.32 = 0.00 0.00 + 0.13x = 0.2 + 0.32 0.13x = 0.2 + 0.32 Combine like terms: 0.2 + 0.32 = 0.52 0.13x = 0.52 Divide each side by '0.13'. x = 4 Simplifying x = 4
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