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Simplifying 0.04(x + -2) = 0.02(6x + -3) + -0.02 Reorder the terms: 0.04(-2 + x) = 0.02(6x + -3) + -0.02 (-2 * 0.04 + x * 0.04) = 0.02(6x + -3) + -0.02 (-0.08 + 0.04x) = 0.02(6x + -3) + -0.02 Reorder the terms: -0.08 + 0.04x = 0.02(-3 + 6x) + -0.02 -0.08 + 0.04x = (-3 * 0.02 + 6x * 0.02) + -0.02 -0.08 + 0.04x = (-0.06 + 0.12x) + -0.02 Reorder the terms: -0.08 + 0.04x = -0.06 + -0.02 + 0.12x Combine like terms: -0.06 + -0.02 = -0.08 -0.08 + 0.04x = -0.08 + 0.12x Add '0.08' to each side of the equation. -0.08 + 0.08 + 0.04x = -0.08 + 0.08 + 0.12x Combine like terms: -0.08 + 0.08 = 0.00 0.00 + 0.04x = -0.08 + 0.08 + 0.12x 0.04x = -0.08 + 0.08 + 0.12x Combine like terms: -0.08 + 0.08 = 0.00 0.04x = 0.00 + 0.12x 0.04x = 0.12x Solving 0.04x = 0.12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.12x' to each side of the equation. 0.04x + -0.12x = 0.12x + -0.12x Combine like terms: 0.04x + -0.12x = -0.08x -0.08x = 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 -0.08x = 0.00 Divide each side by '-0.08'. x = 0 Simplifying x = 0
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