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Simplifying 0.7(3 + -1x) = 8(4 + -2x) (3 * 0.7 + -1x * 0.7) = 8(4 + -2x) (2.1 + -0.7x) = 8(4 + -2x) 2.1 + -0.7x = (4 * 8 + -2x * 8) 2.1 + -0.7x = (32 + -16x) Solving 2.1 + -0.7x = 32 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 2.1 + -0.7x + 16x = 32 + -16x + 16x Combine like terms: -0.7x + 16x = 15.3x 2.1 + 15.3x = 32 + -16x + 16x Combine like terms: -16x + 16x = 0 2.1 + 15.3x = 32 + 0 2.1 + 15.3x = 32 Add '-2.1' to each side of the equation. 2.1 + -2.1 + 15.3x = 32 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + 15.3x = 32 + -2.1 15.3x = 32 + -2.1 Combine like terms: 32 + -2.1 = 29.9 15.3x = 29.9 Divide each side by '15.3'. x = 1.954248366 Simplifying x = 1.954248366
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