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Simplifying 2(x + 0.7) = 6(x + -8) Reorder the terms: 2(0.7 + x) = 6(x + -8) (0.7 * 2 + x * 2) = 6(x + -8) (1.4 + 2x) = 6(x + -8) Reorder the terms: 1.4 + 2x = 6(-8 + x) 1.4 + 2x = (-8 * 6 + x * 6) 1.4 + 2x = (-48 + 6x) Solving 1.4 + 2x = -48 + 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 = -48 + 6x + -6x Combine like terms: 2x + -6x = -4x 1.4 + -4x = -48 + 6x + -6x Combine like terms: 6x + -6x = 0 1.4 + -4x = -48 + 0 1.4 + -4x = -48 Add '-1.4' to each side of the equation. 1.4 + -1.4 + -4x = -48 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -4x = -48 + -1.4 -4x = -48 + -1.4 Combine like terms: -48 + -1.4 = -49.4 -4x = -49.4 Divide each side by '-4'. x = 12.35 Simplifying x = 12.35
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