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Simplifying 5x + -7 = 6x + 6(x + -7) Reorder the terms: -7 + 5x = 6x + 6(x + -7) Reorder the terms: -7 + 5x = 6x + 6(-7 + x) -7 + 5x = 6x + (-7 * 6 + x * 6) -7 + 5x = 6x + (-42 + 6x) Reorder the terms: -7 + 5x = -42 + 6x + 6x Combine like terms: 6x + 6x = 12x -7 + 5x = -42 + 12x Solving -7 + 5x = -42 + 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. -7 + 5x + -12x = -42 + 12x + -12x Combine like terms: 5x + -12x = -7x -7 + -7x = -42 + 12x + -12x Combine like terms: 12x + -12x = 0 -7 + -7x = -42 + 0 -7 + -7x = -42 Add '7' to each side of the equation. -7 + 7 + -7x = -42 + 7 Combine like terms: -7 + 7 = 0 0 + -7x = -42 + 7 -7x = -42 + 7 Combine like terms: -42 + 7 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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