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Simplifying 4X + 13(90) = 10(X + 90) Multiply 13 * 90 4X + 1170 = 10(X + 90) Reorder the terms: 1170 + 4X = 10(X + 90) Reorder the terms: 1170 + 4X = 10(90 + X) 1170 + 4X = (90 * 10 + X * 10) 1170 + 4X = (900 + 10X) Solving 1170 + 4X = 900 + 10X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-10X' to each side of the equation. 1170 + 4X + -10X = 900 + 10X + -10X Combine like terms: 4X + -10X = -6X 1170 + -6X = 900 + 10X + -10X Combine like terms: 10X + -10X = 0 1170 + -6X = 900 + 0 1170 + -6X = 900 Add '-1170' to each side of the equation. 1170 + -1170 + -6X = 900 + -1170 Combine like terms: 1170 + -1170 = 0 0 + -6X = 900 + -1170 -6X = 900 + -1170 Combine like terms: 900 + -1170 = -270 -6X = -270 Divide each side by '-6'. X = 45 Simplifying X = 45
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