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Simplifying 0.08 + -0.03(x + 3) = -0.04(2 + -1x) Reorder the terms: 0.08 + -0.03(3 + x) = -0.04(2 + -1x) 0.08 + (3 * -0.03 + x * -0.03) = -0.04(2 + -1x) 0.08 + (-0.09 + -0.03x) = -0.04(2 + -1x) Combine like terms: 0.08 + -0.09 = -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 = -0.07x -0.01 + -0.07x = -0.08 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -0.01 + -0.07x = -0.08 + 0.00 -0.01 + -0.07x = -0.08 Add '0.01' to each side of the equation. -0.01 + 0.01 + -0.07x = -0.08 + 0.01 Combine like terms: -0.01 + 0.01 = 0.00 0.00 + -0.07x = -0.08 + 0.01 -0.07x = -0.08 + 0.01 Combine like terms: -0.08 + 0.01 = -0.07 -0.07x = -0.07 Divide each side by '-0.07'. x = 1 Simplifying x = 1
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