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Simplifying 0.20(x + 4) = 5x + -2(1 + -1x) + -4 Reorder the terms: 0.20(4 + x) = 5x + -2(1 + -1x) + -4 (4 * 0.20 + x * 0.20) = 5x + -2(1 + -1x) + -4 (0.8 + 0.20x) = 5x + -2(1 + -1x) + -4 0.8 + 0.20x = 5x + (1 * -2 + -1x * -2) + -4 0.8 + 0.20x = 5x + (-2 + 2x) + -4 Reorder the terms: 0.8 + 0.20x = -2 + -4 + 5x + 2x Combine like terms: -2 + -4 = -6 0.8 + 0.20x = -6 + 5x + 2x Combine like terms: 5x + 2x = 7x 0.8 + 0.20x = -6 + 7x Solving 0.8 + 0.20x = -6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 0.8 + 0.20x + -7x = -6 + 7x + -7x Combine like terms: 0.20x + -7x = -6.8x 0.8 + -6.8x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 0.8 + -6.8x = -6 + 0 0.8 + -6.8x = -6 Add '-0.8' to each side of the equation. 0.8 + -0.8 + -6.8x = -6 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -6.8x = -6 + -0.8 -6.8x = -6 + -0.8 Combine like terms: -6 + -0.8 = -6.8 -6.8x = -6.8 Divide each side by '-6.8'. x = 1 Simplifying x = 1
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