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Simplifying 0.3(12 + x) = -8(6 + -1x) (12 * 0.3 + x * 0.3) = -8(6 + -1x) (3.6 + 0.3x) = -8(6 + -1x) 3.6 + 0.3x = (6 * -8 + -1x * -8) 3.6 + 0.3x = (-48 + 8x) Solving 3.6 + 0.3x = -48 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 3.6 + 0.3x + -8x = -48 + 8x + -8x Combine like terms: 0.3x + -8x = -7.7x 3.6 + -7.7x = -48 + 8x + -8x Combine like terms: 8x + -8x = 0 3.6 + -7.7x = -48 + 0 3.6 + -7.7x = -48 Add '-3.6' to each side of the equation. 3.6 + -3.6 + -7.7x = -48 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + -7.7x = -48 + -3.6 -7.7x = -48 + -3.6 Combine like terms: -48 + -3.6 = -51.6 -7.7x = -51.6 Divide each side by '-7.7'. x = 6.701298701 Simplifying x = 6.701298701
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