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Simplifying 4(8 + -1x) = 1.2(6 + -1x) (8 * 4 + -1x * 4) = 1.2(6 + -1x) (32 + -4x) = 1.2(6 + -1x) 32 + -4x = (6 * 1.2 + -1x * 1.2) 32 + -4x = (7.2 + -1.2x) Solving 32 + -4x = 7.2 + -1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.2x' to each side of the equation. 32 + -4x + 1.2x = 7.2 + -1.2x + 1.2x Combine like terms: -4x + 1.2x = -2.8x 32 + -2.8x = 7.2 + -1.2x + 1.2x Combine like terms: -1.2x + 1.2x = 0.0 32 + -2.8x = 7.2 + 0.0 32 + -2.8x = 7.2 Add '-32' to each side of the equation. 32 + -32 + -2.8x = 7.2 + -32 Combine like terms: 32 + -32 = 0 0 + -2.8x = 7.2 + -32 -2.8x = 7.2 + -32 Combine like terms: 7.2 + -32 = -24.8 -2.8x = -24.8 Divide each side by '-2.8'. x = 8.857142857 Simplifying x = 8.857142857
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