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Simplifying 1.6(8 + -1x) = 1.4(6 + -1x) (8 * 1.6 + -1x * 1.6) = 1.4(6 + -1x) (12.8 + -1.6x) = 1.4(6 + -1x) 12.8 + -1.6x = (6 * 1.4 + -1x * 1.4) 12.8 + -1.6x = (8.4 + -1.4x) Solving 12.8 + -1.6x = 8.4 + -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. 12.8 + -1.6x + 1.4x = 8.4 + -1.4x + 1.4x Combine like terms: -1.6x + 1.4x = -0.2x 12.8 + -0.2x = 8.4 + -1.4x + 1.4x Combine like terms: -1.4x + 1.4x = 0.0 12.8 + -0.2x = 8.4 + 0.0 12.8 + -0.2x = 8.4 Add '-12.8' to each side of the equation. 12.8 + -12.8 + -0.2x = 8.4 + -12.8 Combine like terms: 12.8 + -12.8 = 0.0 0.0 + -0.2x = 8.4 + -12.8 -0.2x = 8.4 + -12.8 Combine like terms: 8.4 + -12.8 = -4.4 -0.2x = -4.4 Divide each side by '-0.2'. x = 22 Simplifying x = 22
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