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Simplifying 0.12x + -0.03(4 + -6x) = 0.02(x + -2) + -0.04 0.12x + (4 * -0.03 + -6x * -0.03) = 0.02(x + -2) + -0.04 0.12x + (-0.12 + 0.18x) = 0.02(x + -2) + -0.04 Reorder the terms: -0.12 + 0.12x + 0.18x = 0.02(x + -2) + -0.04 Combine like terms: 0.12x + 0.18x = 0.3x -0.12 + 0.3x = 0.02(x + -2) + -0.04 Reorder the terms: -0.12 + 0.3x = 0.02(-2 + x) + -0.04 -0.12 + 0.3x = (-2 * 0.02 + x * 0.02) + -0.04 -0.12 + 0.3x = (-0.04 + 0.02x) + -0.04 Reorder the terms: -0.12 + 0.3x = -0.04 + -0.04 + 0.02x Combine like terms: -0.04 + -0.04 = -0.08 -0.12 + 0.3x = -0.08 + 0.02x Solving -0.12 + 0.3x = -0.08 + 0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.02x' to each side of the equation. -0.12 + 0.3x + -0.02x = -0.08 + 0.02x + -0.02x Combine like terms: 0.3x + -0.02x = 0.28x -0.12 + 0.28x = -0.08 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -0.12 + 0.28x = -0.08 + 0.00 -0.12 + 0.28x = -0.08 Add '0.12' to each side of the equation. -0.12 + 0.12 + 0.28x = -0.08 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + 0.28x = -0.08 + 0.12 0.28x = -0.08 + 0.12 Combine like terms: -0.08 + 0.12 = 0.04 0.28x = 0.04 Divide each side by '0.28'. x = 0.1428571429 Simplifying x = 0.1428571429
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