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Simplifying 1.8(7 + -1x) = 1.6(5 + -1x) (7 * 1.8 + -1x * 1.8) = 1.6(5 + -1x) (12.6 + -1.8x) = 1.6(5 + -1x) 12.6 + -1.8x = (5 * 1.6 + -1x * 1.6) 12.6 + -1.8x = (8 + -1.6x) Solving 12.6 + -1.8x = 8 + -1.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.6x' to each side of the equation. 12.6 + -1.8x + 1.6x = 8 + -1.6x + 1.6x Combine like terms: -1.8x + 1.6x = -0.2x 12.6 + -0.2x = 8 + -1.6x + 1.6x Combine like terms: -1.6x + 1.6x = 0.0 12.6 + -0.2x = 8 + 0.0 12.6 + -0.2x = 8 Add '-12.6' to each side of the equation. 12.6 + -12.6 + -0.2x = 8 + -12.6 Combine like terms: 12.6 + -12.6 = 0.0 0.0 + -0.2x = 8 + -12.6 -0.2x = 8 + -12.6 Combine like terms: 8 + -12.6 = -4.6 -0.2x = -4.6 Divide each side by '-0.2'. x = 23 Simplifying x = 23
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