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Simplifying 0.3(x + -4) + -0.05(2x + -3) = 0.1(5 + -1x) Reorder the terms: 0.3(-4 + x) + -0.05(2x + -3) = 0.1(5 + -1x) (-4 * 0.3 + x * 0.3) + -0.05(2x + -3) = 0.1(5 + -1x) (-1.2 + 0.3x) + -0.05(2x + -3) = 0.1(5 + -1x) Reorder the terms: -1.2 + 0.3x + -0.05(-3 + 2x) = 0.1(5 + -1x) -1.2 + 0.3x + (-3 * -0.05 + 2x * -0.05) = 0.1(5 + -1x) -1.2 + 0.3x + (0.15 + -0.1x) = 0.1(5 + -1x) Reorder the terms: -1.2 + 0.15 + 0.3x + -0.1x = 0.1(5 + -1x) Combine like terms: -1.2 + 0.15 = -1.05 -1.05 + 0.3x + -0.1x = 0.1(5 + -1x) Combine like terms: 0.3x + -0.1x = 0.2x -1.05 + 0.2x = 0.1(5 + -1x) -1.05 + 0.2x = (5 * 0.1 + -1x * 0.1) -1.05 + 0.2x = (0.5 + -0.1x) Solving -1.05 + 0.2x = 0.5 + -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. -1.05 + 0.2x + 0.1x = 0.5 + -0.1x + 0.1x Combine like terms: 0.2x + 0.1x = 0.3x -1.05 + 0.3x = 0.5 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 -1.05 + 0.3x = 0.5 + 0.0 -1.05 + 0.3x = 0.5 Add '1.05' to each side of the equation. -1.05 + 1.05 + 0.3x = 0.5 + 1.05 Combine like terms: -1.05 + 1.05 = 0.00 0.00 + 0.3x = 0.5 + 1.05 0.3x = 0.5 + 1.05 Combine like terms: 0.5 + 1.05 = 1.55 0.3x = 1.55 Divide each side by '0.3'. x = 5.166666667 Simplifying x = 5.166666667
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