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Simplifying -0.06 + -0.03(5 + -4x) = 0.03(x + -3) + -0.18 -0.06 + (5 * -0.03 + -4x * -0.03) = 0.03(x + -3) + -0.18 -0.06 + (-0.15 + 0.12x) = 0.03(x + -3) + -0.18 Combine like terms: -0.06 + -0.15 = -0.21 -0.21 + 0.12x = 0.03(x + -3) + -0.18 Reorder the terms: -0.21 + 0.12x = 0.03(-3 + x) + -0.18 -0.21 + 0.12x = (-3 * 0.03 + x * 0.03) + -0.18 -0.21 + 0.12x = (-0.09 + 0.03x) + -0.18 Reorder the terms: -0.21 + 0.12x = -0.09 + -0.18 + 0.03x Combine like terms: -0.09 + -0.18 = -0.27 -0.21 + 0.12x = -0.27 + 0.03x Solving -0.21 + 0.12x = -0.27 + 0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03x' to each side of the equation. -0.21 + 0.12x + -0.03x = -0.27 + 0.03x + -0.03x Combine like terms: 0.12x + -0.03x = 0.09x -0.21 + 0.09x = -0.27 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -0.21 + 0.09x = -0.27 + 0.00 -0.21 + 0.09x = -0.27 Add '0.21' to each side of the equation. -0.21 + 0.21 + 0.09x = -0.27 + 0.21 Combine like terms: -0.21 + 0.21 = 0.00 0.00 + 0.09x = -0.27 + 0.21 0.09x = -0.27 + 0.21 Combine like terms: -0.27 + 0.21 = -0.06 0.09x = -0.06 Divide each side by '0.09'. x = -0.6666666667 Simplifying x = -0.6666666667
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