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Simplifying 2.6x + 4.4(1150) + -4.4x = 4178 Multiply 4.4 * 1150 2.6x + 5060 + -4.4x = 4178 Reorder the terms: 5060 + 2.6x + -4.4x = 4178 Combine like terms: 2.6x + -4.4x = -1.8x 5060 + -1.8x = 4178 Solving 5060 + -1.8x = 4178 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5060' to each side of the equation. 5060 + -5060 + -1.8x = 4178 + -5060 Combine like terms: 5060 + -5060 = 0 0 + -1.8x = 4178 + -5060 -1.8x = 4178 + -5060 Combine like terms: 4178 + -5060 = -882 -1.8x = -882 Divide each side by '-1.8'. x = 490 Simplifying x = 490
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