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Simplifying 0.2(x + 4) = 7x + -2(1 + -1x) + -6 Reorder the terms: 0.2(4 + x) = 7x + -2(1 + -1x) + -6 (4 * 0.2 + x * 0.2) = 7x + -2(1 + -1x) + -6 (0.8 + 0.2x) = 7x + -2(1 + -1x) + -6 0.8 + 0.2x = 7x + (1 * -2 + -1x * -2) + -6 0.8 + 0.2x = 7x + (-2 + 2x) + -6 Reorder the terms: 0.8 + 0.2x = -2 + -6 + 7x + 2x Combine like terms: -2 + -6 = -8 0.8 + 0.2x = -8 + 7x + 2x Combine like terms: 7x + 2x = 9x 0.8 + 0.2x = -8 + 9x Solving 0.8 + 0.2x = -8 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 0.8 + 0.2x + -9x = -8 + 9x + -9x Combine like terms: 0.2x + -9x = -8.8x 0.8 + -8.8x = -8 + 9x + -9x Combine like terms: 9x + -9x = 0 0.8 + -8.8x = -8 + 0 0.8 + -8.8x = -8 Add '-0.8' to each side of the equation. 0.8 + -0.8 + -8.8x = -8 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -8.8x = -8 + -0.8 -8.8x = -8 + -0.8 Combine like terms: -8 + -0.8 = -8.8 -8.8x = -8.8 Divide each side by '-8.8'. x = 1 Simplifying x = 1
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