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Simplifying 5(x + 1.17) = 4x Reorder the terms: 5(1.17 + x) = 4x (1.17 * 5 + x * 5) = 4x (5.85 + 5x) = 4x Solving 5.85 + 5x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5.85 + 5x + -4x = 4x + -4x Combine like terms: 5x + -4x = 1x 5.85 + 1x = 4x + -4x Combine like terms: 4x + -4x = 0 5.85 + 1x = 0 Add '-5.85' to each side of the equation. 5.85 + -5.85 + 1x = 0 + -5.85 Combine like terms: 5.85 + -5.85 = 0.00 0.00 + 1x = 0 + -5.85 1x = 0 + -5.85 Combine like terms: 0 + -5.85 = -5.85 1x = -5.85 Divide each side by '1'. x = -5.85 Simplifying x = -5.85
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