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Simplifying (8 + 6x) * 0.2 = -12 + -1(x + 4) Reorder the terms for easier multiplication: 0.2(8 + 6x) = -12 + -1(x + 4) (8 * 0.2 + 6x * 0.2) = -12 + -1(x + 4) (1.6 + 1.2x) = -12 + -1(x + 4) Reorder the terms: 1.6 + 1.2x = -12 + -1(4 + x) 1.6 + 1.2x = -12 + (4 * -1 + x * -1) 1.6 + 1.2x = -12 + (-4 + -1x) Combine like terms: -12 + -4 = -16 1.6 + 1.2x = -16 + -1x Solving 1.6 + 1.2x = -16 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 1.6 + 1.2x + x = -16 + -1x + x Combine like terms: 1.2x + x = 2.2x 1.6 + 2.2x = -16 + -1x + x Combine like terms: -1x + x = 0 1.6 + 2.2x = -16 + 0 1.6 + 2.2x = -16 Add '-1.6' to each side of the equation. 1.6 + -1.6 + 2.2x = -16 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + 2.2x = -16 + -1.6 2.2x = -16 + -1.6 Combine like terms: -16 + -1.6 = -17.6 2.2x = -17.6 Divide each side by '2.2'. x = -8 Simplifying x = -8
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