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Simplifying 2(x + 0.7) = -6(x + -0.8) Reorder the terms: 2(0.7 + x) = -6(x + -0.8) (0.7 * 2 + x * 2) = -6(x + -0.8) (1.4 + 2x) = -6(x + -0.8) Reorder the terms: 1.4 + 2x = -6(-0.8 + x) 1.4 + 2x = (-0.8 * -6 + x * -6) 1.4 + 2x = (4.8 + -6x) Solving 1.4 + 2x = 4.8 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 1.4 + 2x + 6x = 4.8 + -6x + 6x Combine like terms: 2x + 6x = 8x 1.4 + 8x = 4.8 + -6x + 6x Combine like terms: -6x + 6x = 0 1.4 + 8x = 4.8 + 0 1.4 + 8x = 4.8 Add '-1.4' to each side of the equation. 1.4 + -1.4 + 8x = 4.8 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + 8x = 4.8 + -1.4 8x = 4.8 + -1.4 Combine like terms: 4.8 + -1.4 = 3.4 8x = 3.4 Divide each side by '8'. x = 0.425 Simplifying x = 0.425
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