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Simplifying 30x + 7 + 4x = 100 + 40x Reorder the terms: 7 + 30x + 4x = 100 + 40x Combine like terms: 30x + 4x = 34x 7 + 34x = 100 + 40x Solving 7 + 34x = 100 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 7 + 34x + -40x = 100 + 40x + -40x Combine like terms: 34x + -40x = -6x 7 + -6x = 100 + 40x + -40x Combine like terms: 40x + -40x = 0 7 + -6x = 100 + 0 7 + -6x = 100 Add '-7' to each side of the equation. 7 + -7 + -6x = 100 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = 100 + -7 -6x = 100 + -7 Combine like terms: 100 + -7 = 93 -6x = 93 Divide each side by '-6'. x = -15.5 Simplifying x = -15.5
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