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Simplifying 1.6(5 + -1x) = 1.4(3 + -1x) (5 * 1.6 + -1x * 1.6) = 1.4(3 + -1x) (8 + -1.6x) = 1.4(3 + -1x) 8 + -1.6x = (3 * 1.4 + -1x * 1.4) 8 + -1.6x = (4.2 + -1.4x) Solving 8 + -1.6x = 4.2 + -1.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.4x' to each side of the equation. 8 + -1.6x + 1.4x = 4.2 + -1.4x + 1.4x Combine like terms: -1.6x + 1.4x = -0.2x 8 + -0.2x = 4.2 + -1.4x + 1.4x Combine like terms: -1.4x + 1.4x = 0.0 8 + -0.2x = 4.2 + 0.0 8 + -0.2x = 4.2 Add '-8' to each side of the equation. 8 + -8 + -0.2x = 4.2 + -8 Combine like terms: 8 + -8 = 0 0 + -0.2x = 4.2 + -8 -0.2x = 4.2 + -8 Combine like terms: 4.2 + -8 = -3.8 -0.2x = -3.8 Divide each side by '-0.2'. x = 19 Simplifying x = 19
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