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Simplifying 0.6(x + 4) + 0.6 = 0.2(7 + -2x) Reorder the terms: 0.6(4 + x) + 0.6 = 0.2(7 + -2x) (4 * 0.6 + x * 0.6) + 0.6 = 0.2(7 + -2x) (2.4 + 0.6x) + 0.6 = 0.2(7 + -2x) Reorder the terms: 2.4 + 0.6 + 0.6x = 0.2(7 + -2x) Combine like terms: 2.4 + 0.6 = 3 3 + 0.6x = 0.2(7 + -2x) 3 + 0.6x = (7 * 0.2 + -2x * 0.2) 3 + 0.6x = (1.4 + -0.4x) Solving 3 + 0.6x = 1.4 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. 3 + 0.6x + 0.4x = 1.4 + -0.4x + 0.4x Combine like terms: 0.6x + 0.4x = 1x 3 + 1x = 1.4 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 3 + 1x = 1.4 + 0.0 3 + 1x = 1.4 Add '-3' to each side of the equation. 3 + -3 + 1x = 1.4 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 1.4 + -3 1x = 1.4 + -3 Combine like terms: 1.4 + -3 = -1.6 1x = -1.6 Divide each side by '1'. x = -1.6 Simplifying x = -1.6
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