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Simplifying 6x + -7 + 4x + 61 = 12x + 40 Reorder the terms: -7 + 61 + 6x + 4x = 12x + 40 Combine like terms: -7 + 61 = 54 54 + 6x + 4x = 12x + 40 Combine like terms: 6x + 4x = 10x 54 + 10x = 12x + 40 Reorder the terms: 54 + 10x = 40 + 12x Solving 54 + 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. 54 + 10x + -12x = 40 + 12x + -12x Combine like terms: 10x + -12x = -2x 54 + -2x = 40 + 12x + -12x Combine like terms: 12x + -12x = 0 54 + -2x = 40 + 0 54 + -2x = 40 Add '-54' to each side of the equation. 54 + -54 + -2x = 40 + -54 Combine like terms: 54 + -54 = 0 0 + -2x = 40 + -54 -2x = 40 + -54 Combine like terms: 40 + -54 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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