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Simplifying 10x + 70 = 12x + 40 Reorder the terms: 70 + 10x = 12x + 40 Reorder the terms: 70 + 10x = 40 + 12x Solving 70 + 10x = 40 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 70 + 10x + -12x = 40 + 12x + -12x Combine like terms: 10x + -12x = -2x 70 + -2x = 40 + 12x + -12x Combine like terms: 12x + -12x = 0 70 + -2x = 40 + 0 70 + -2x = 40 Add '-70' to each side of the equation. 70 + -70 + -2x = 40 + -70 Combine like terms: 70 + -70 = 0 0 + -2x = 40 + -70 -2x = 40 + -70 Combine like terms: 40 + -70 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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