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Simplifying 0.15 + -0.03(x + 3) = -0.04(2 + x) Reorder the terms: 0.15 + -0.03(3 + x) = -0.04(2 + x) 0.15 + (3 * -0.03 + x * -0.03) = -0.04(2 + x) 0.15 + (-0.09 + -0.03x) = -0.04(2 + x) Combine like terms: 0.15 + -0.09 = 0.06 0.06 + -0.03x = -0.04(2 + x) 0.06 + -0.03x = (2 * -0.04 + x * -0.04) 0.06 + -0.03x = (-0.08 + -0.04x) Solving 0.06 + -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. 0.06 + -0.03x + 0.04x = -0.08 + -0.04x + 0.04x Combine like terms: -0.03x + 0.04x = 0.01x 0.06 + 0.01x = -0.08 + -0.04x + 0.04x Combine like terms: -0.04x + 0.04x = 0.00 0.06 + 0.01x = -0.08 + 0.00 0.06 + 0.01x = -0.08 Add '-0.06' to each side of the equation. 0.06 + -0.06 + 0.01x = -0.08 + -0.06 Combine like terms: 0.06 + -0.06 = 0.00 0.00 + 0.01x = -0.08 + -0.06 0.01x = -0.08 + -0.06 Combine like terms: -0.08 + -0.06 = -0.14 0.01x = -0.14 Divide each side by '0.01'. x = -14 Simplifying x = -14
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