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Simplifying 1000 = 4x + 3x + 45(4) Multiply 45 * 4 1000 = 4x + 3x + 180 Reorder the terms: 1000 = 180 + 4x + 3x Combine like terms: 4x + 3x = 7x 1000 = 180 + 7x Solving 1000 = 180 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 1000 + -7x = 180 + 7x + -7x Combine like terms: 7x + -7x = 0 1000 + -7x = 180 + 0 1000 + -7x = 180 Add '-1000' to each side of the equation. 1000 + -1000 + -7x = 180 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -7x = 180 + -1000 -7x = 180 + -1000 Combine like terms: 180 + -1000 = -820 -7x = -820 Divide each side by '-7'. x = 117.1428571 Simplifying x = 117.1428571
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