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Simplifying 2.8 + -0.6(x + 2) = 2x + 2(x + -0.2) Reorder the terms: 2.8 + -0.6(2 + x) = 2x + 2(x + -0.2) 2.8 + (2 * -0.6 + x * -0.6) = 2x + 2(x + -0.2) 2.8 + (-1.2 + -0.6x) = 2x + 2(x + -0.2) Combine like terms: 2.8 + -1.2 = 1.6 1.6 + -0.6x = 2x + 2(x + -0.2) Reorder the terms: 1.6 + -0.6x = 2x + 2(-0.2 + x) 1.6 + -0.6x = 2x + (-0.2 * 2 + x * 2) 1.6 + -0.6x = 2x + (-0.4 + 2x) Reorder the terms: 1.6 + -0.6x = -0.4 + 2x + 2x Combine like terms: 2x + 2x = 4x 1.6 + -0.6x = -0.4 + 4x Solving 1.6 + -0.6x = -0.4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1.6 + -0.6x + -4x = -0.4 + 4x + -4x Combine like terms: -0.6x + -4x = -4.6x 1.6 + -4.6x = -0.4 + 4x + -4x Combine like terms: 4x + -4x = 0 1.6 + -4.6x = -0.4 + 0 1.6 + -4.6x = -0.4 Add '-1.6' to each side of the equation. 1.6 + -1.6 + -4.6x = -0.4 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + -4.6x = -0.4 + -1.6 -4.6x = -0.4 + -1.6 Combine like terms: -0.4 + -1.6 = -2 -4.6x = -2 Divide each side by '-4.6'. x = 0.4347826087 Simplifying x = 0.4347826087
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