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Simplifying 0.4(2x + -0.5) = 3[0.2x + -1(-2)] + -4 Reorder the terms: 0.4(-0.5 + 2x) = 3[0.2x + -1(-2)] + -4 (-0.5 * 0.4 + 2x * 0.4) = 3[0.2x + -1(-2)] + -4 (-0.2 + 0.8x) = 3[0.2x + -1(-2)] + -4 Multiply -1 * -2 -0.2 + 0.8x = 3[0.2x + 2] + -4 Reorder the terms: -0.2 + 0.8x = 3[2 + 0.2x] + -4 -0.2 + 0.8x = [2 * 3 + 0.2x * 3] + -4 -0.2 + 0.8x = [6 + 0.6x] + -4 Reorder the terms: -0.2 + 0.8x = 6 + -4 + 0.6x Combine like terms: 6 + -4 = 2 -0.2 + 0.8x = 2 + 0.6x Solving -0.2 + 0.8x = 2 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. -0.2 + 0.8x + -0.6x = 2 + 0.6x + -0.6x Combine like terms: 0.8x + -0.6x = 0.2x -0.2 + 0.2x = 2 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 -0.2 + 0.2x = 2 + 0.0 -0.2 + 0.2x = 2 Add '0.2' to each side of the equation. -0.2 + 0.2 + 0.2x = 2 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.2x = 2 + 0.2 0.2x = 2 + 0.2 Combine like terms: 2 + 0.2 = 2.2 0.2x = 2.2 Divide each side by '0.2'. x = 11 Simplifying x = 11
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