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Simplifying 0.08x + -0.11(x + -3) = 0.07(x + -1) Reorder the terms: 0.08x + -0.11(-3 + x) = 0.07(x + -1) 0.08x + (-3 * -0.11 + x * -0.11) = 0.07(x + -1) 0.08x + (0.33 + -0.11x) = 0.07(x + -1) Reorder the terms: 0.33 + 0.08x + -0.11x = 0.07(x + -1) Combine like terms: 0.08x + -0.11x = -0.03x 0.33 + -0.03x = 0.07(x + -1) Reorder the terms: 0.33 + -0.03x = 0.07(-1 + x) 0.33 + -0.03x = (-1 * 0.07 + x * 0.07) 0.33 + -0.03x = (-0.07 + 0.07x) Solving 0.33 + -0.03x = -0.07 + 0.07x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.07x' to each side of the equation. 0.33 + -0.03x + -0.07x = -0.07 + 0.07x + -0.07x Combine like terms: -0.03x + -0.07x = -0.1x 0.33 + -0.1x = -0.07 + 0.07x + -0.07x Combine like terms: 0.07x + -0.07x = 0.00 0.33 + -0.1x = -0.07 + 0.00 0.33 + -0.1x = -0.07 Add '-0.33' to each side of the equation. 0.33 + -0.33 + -0.1x = -0.07 + -0.33 Combine like terms: 0.33 + -0.33 = 0.00 0.00 + -0.1x = -0.07 + -0.33 -0.1x = -0.07 + -0.33 Combine like terms: -0.07 + -0.33 = -0.4 -0.1x = -0.4 Divide each side by '-0.1'. x = 4 Simplifying x = 4
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