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Simplifying 3x + 10 = -30 + 7x Reorder the terms: 10 + 3x = -30 + 7x Solving 10 + 3x = -30 + 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. 10 + 3x + -7x = -30 + 7x + -7x Combine like terms: 3x + -7x = -4x 10 + -4x = -30 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -4x = -30 + 0 10 + -4x = -30 Add '-10' to each side of the equation. 10 + -10 + -4x = -30 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = -30 + -10 -4x = -30 + -10 Combine like terms: -30 + -10 = -40 -4x = -40 Divide each side by '-4'. x = 10 Simplifying x = 10
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