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Simplifying 0.02(-2x + -5) = 0.18(3 + -1x) Reorder the terms: 0.02(-5 + -2x) = 0.18(3 + -1x) (-5 * 0.02 + -2x * 0.02) = 0.18(3 + -1x) (-0.1 + -0.04x) = 0.18(3 + -1x) -0.1 + -0.04x = (3 * 0.18 + -1x * 0.18) -0.1 + -0.04x = (0.54 + -0.18x) Solving -0.1 + -0.04x = 0.54 + -0.18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.18x' to each side of the equation. -0.1 + -0.04x + 0.18x = 0.54 + -0.18x + 0.18x Combine like terms: -0.04x + 0.18x = 0.14x -0.1 + 0.14x = 0.54 + -0.18x + 0.18x Combine like terms: -0.18x + 0.18x = 0.00 -0.1 + 0.14x = 0.54 + 0.00 -0.1 + 0.14x = 0.54 Add '0.1' to each side of the equation. -0.1 + 0.1 + 0.14x = 0.54 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 0.14x = 0.54 + 0.1 0.14x = 0.54 + 0.1 Combine like terms: 0.54 + 0.1 = 0.64 0.14x = 0.64 Divide each side by '0.14'. x = 4.571428571 Simplifying x = 4.571428571
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