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Simplifying 5 + 1.9(x + -5) = 1.1x Reorder the terms: 5 + 1.9(-5 + x) = 1.1x 5 + (-5 * 1.9 + x * 1.9) = 1.1x 5 + (-9.5 + 1.9x) = 1.1x Combine like terms: 5 + -9.5 = -4.5 -4.5 + 1.9x = 1.1x Solving -4.5 + 1.9x = 1.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.1x' to each side of the equation. -4.5 + 1.9x + -1.1x = 1.1x + -1.1x Combine like terms: 1.9x + -1.1x = 0.8x -4.5 + 0.8x = 1.1x + -1.1x Combine like terms: 1.1x + -1.1x = 0.0 -4.5 + 0.8x = 0.0 Add '4.5' to each side of the equation. -4.5 + 4.5 + 0.8x = 0.0 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + 0.8x = 0.0 + 4.5 0.8x = 0.0 + 4.5 Combine like terms: 0.0 + 4.5 = 4.5 0.8x = 4.5 Divide each side by '0.8'. x = 5.625 Simplifying x = 5.625
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