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Simplifying 0.02(3x + -4) + 0.15x = 0.05(4 + -1x) Reorder the terms: 0.02(-4 + 3x) + 0.15x = 0.05(4 + -1x) (-4 * 0.02 + 3x * 0.02) + 0.15x = 0.05(4 + -1x) (-0.08 + 0.06x) + 0.15x = 0.05(4 + -1x) Combine like terms: 0.06x + 0.15x = 0.21x -0.08 + 0.21x = 0.05(4 + -1x) -0.08 + 0.21x = (4 * 0.05 + -1x * 0.05) -0.08 + 0.21x = (0.2 + -0.05x) Solving -0.08 + 0.21x = 0.2 + -0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.05x' to each side of the equation. -0.08 + 0.21x + 0.05x = 0.2 + -0.05x + 0.05x Combine like terms: 0.21x + 0.05x = 0.26x -0.08 + 0.26x = 0.2 + -0.05x + 0.05x Combine like terms: -0.05x + 0.05x = 0.00 -0.08 + 0.26x = 0.2 + 0.00 -0.08 + 0.26x = 0.2 Add '0.08' to each side of the equation. -0.08 + 0.08 + 0.26x = 0.2 + 0.08 Combine like terms: -0.08 + 0.08 = 0.00 0.00 + 0.26x = 0.2 + 0.08 0.26x = 0.2 + 0.08 Combine like terms: 0.2 + 0.08 = 0.28 0.26x = 0.28 Divide each side by '0.26'. x = 1.076923077 Simplifying x = 1.076923077
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