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Simplifying -2.9x + -4.89 = 1.75(x + 14.5) Reorder the terms: -4.89 + -2.9x = 1.75(x + 14.5) Reorder the terms: -4.89 + -2.9x = 1.75(14.5 + x) -4.89 + -2.9x = (14.5 * 1.75 + x * 1.75) -4.89 + -2.9x = (25.375 + 1.75x) Solving -4.89 + -2.9x = 25.375 + 1.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.75x' to each side of the equation. -4.89 + -2.9x + -1.75x = 25.375 + 1.75x + -1.75x Combine like terms: -2.9x + -1.75x = -4.65x -4.89 + -4.65x = 25.375 + 1.75x + -1.75x Combine like terms: 1.75x + -1.75x = 0.00 -4.89 + -4.65x = 25.375 + 0.00 -4.89 + -4.65x = 25.375 Add '4.89' to each side of the equation. -4.89 + 4.89 + -4.65x = 25.375 + 4.89 Combine like terms: -4.89 + 4.89 = 0.00 0.00 + -4.65x = 25.375 + 4.89 -4.65x = 25.375 + 4.89 Combine like terms: 25.375 + 4.89 = 30.265 -4.65x = 30.265 Divide each side by '-4.65'. x = -6.508602151 Simplifying x = -6.508602151
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