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Simplifying 0.05 + -0.03(x + 2) = 0.04(2 + -1x) Reorder the terms: 0.05 + -0.03(2 + x) = 0.04(2 + -1x) 0.05 + (2 * -0.03 + x * -0.03) = 0.04(2 + -1x) 0.05 + (-0.06 + -0.03x) = 0.04(2 + -1x) Combine like terms: 0.05 + -0.06 = -0.01 -0.01 + -0.03x = 0.04(2 + -1x) -0.01 + -0.03x = (2 * 0.04 + -1x * 0.04) -0.01 + -0.03x = (0.08 + -0.04x) Solving -0.01 + -0.03x = 0.08 + -0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.04x' to each side of the equation. -0.01 + -0.03x + 0.04x = 0.08 + -0.04x + 0.04x Combine like terms: -0.03x + 0.04x = 0.01x -0.01 + 0.01x = 0.08 + -0.04x + 0.04x Combine like terms: -0.04x + 0.04x = 0.00 -0.01 + 0.01x = 0.08 + 0.00 -0.01 + 0.01x = 0.08 Add '0.01' to each side of the equation. -0.01 + 0.01 + 0.01x = 0.08 + 0.01 Combine like terms: -0.01 + 0.01 = 0.00 0.00 + 0.01x = 0.08 + 0.01 0.01x = 0.08 + 0.01 Combine like terms: 0.08 + 0.01 = 0.09 0.01x = 0.09 Divide each side by '0.01'. x = 9 Simplifying x = 9
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