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Simplifying 0.12 + -0.03(x + 3) = 0.04(1 + -1x) Reorder the terms: 0.12 + -0.03(3 + x) = 0.04(1 + -1x) 0.12 + (3 * -0.03 + x * -0.03) = 0.04(1 + -1x) 0.12 + (-0.09 + -0.03x) = 0.04(1 + -1x) Combine like terms: 0.12 + -0.09 = 0.03 0.03 + -0.03x = 0.04(1 + -1x) 0.03 + -0.03x = (1 * 0.04 + -1x * 0.04) 0.03 + -0.03x = (0.04 + -0.04x) Solving 0.03 + -0.03x = 0.04 + -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. 0.03 + -0.03x + 0.04x = 0.04 + -0.04x + 0.04x Combine like terms: -0.03x + 0.04x = 0.01x 0.03 + 0.01x = 0.04 + -0.04x + 0.04x Combine like terms: -0.04x + 0.04x = 0.00 0.03 + 0.01x = 0.04 + 0.00 0.03 + 0.01x = 0.04 Add '-0.03' to each side of the equation. 0.03 + -0.03 + 0.01x = 0.04 + -0.03 Combine like terms: 0.03 + -0.03 = 0.00 0.00 + 0.01x = 0.04 + -0.03 0.01x = 0.04 + -0.03 Combine like terms: 0.04 + -0.03 = 0.01 0.01x = 0.01 Divide each side by '0.01'. x = 1 Simplifying x = 1
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