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Simplifying 0.2(x + 3) = 4x + -7(2 + -1x) + -7 Reorder the terms: 0.2(3 + x) = 4x + -7(2 + -1x) + -7 (3 * 0.2 + x * 0.2) = 4x + -7(2 + -1x) + -7 (0.6 + 0.2x) = 4x + -7(2 + -1x) + -7 0.6 + 0.2x = 4x + (2 * -7 + -1x * -7) + -7 0.6 + 0.2x = 4x + (-14 + 7x) + -7 Reorder the terms: 0.6 + 0.2x = -14 + -7 + 4x + 7x Combine like terms: -14 + -7 = -21 0.6 + 0.2x = -21 + 4x + 7x Combine like terms: 4x + 7x = 11x 0.6 + 0.2x = -21 + 11x Solving 0.6 + 0.2x = -21 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 0.6 + 0.2x + -11x = -21 + 11x + -11x Combine like terms: 0.2x + -11x = -10.8x 0.6 + -10.8x = -21 + 11x + -11x Combine like terms: 11x + -11x = 0 0.6 + -10.8x = -21 + 0 0.6 + -10.8x = -21 Add '-0.6' to each side of the equation. 0.6 + -0.6 + -10.8x = -21 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -10.8x = -21 + -0.6 -10.8x = -21 + -0.6 Combine like terms: -21 + -0.6 = -21.6 -10.8x = -21.6 Divide each side by '-10.8'. x = 2 Simplifying x = 2
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