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Simplifying 2 + 3(0.6x + -0.02) = 2(0.4x + 0.3) Reorder the terms: 2 + 3(-0.02 + 0.6x) = 2(0.4x + 0.3) 2 + (-0.02 * 3 + 0.6x * 3) = 2(0.4x + 0.3) 2 + (-0.06 + 1.8x) = 2(0.4x + 0.3) Combine like terms: 2 + -0.06 = 1.94 1.94 + 1.8x = 2(0.4x + 0.3) Reorder the terms: 1.94 + 1.8x = 2(0.3 + 0.4x) 1.94 + 1.8x = (0.3 * 2 + 0.4x * 2) 1.94 + 1.8x = (0.6 + 0.8x) Solving 1.94 + 1.8x = 0.6 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 1.94 + 1.8x + -0.8x = 0.6 + 0.8x + -0.8x Combine like terms: 1.8x + -0.8x = 1x 1.94 + 1x = 0.6 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 1.94 + 1x = 0.6 + 0.0 1.94 + 1x = 0.6 Add '-1.94' to each side of the equation. 1.94 + -1.94 + 1x = 0.6 + -1.94 Combine like terms: 1.94 + -1.94 = 0.00 0.00 + 1x = 0.6 + -1.94 1x = 0.6 + -1.94 Combine like terms: 0.6 + -1.94 = -1.34 1x = -1.34 Divide each side by '1'. x = -1.34 Simplifying x = -1.34
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