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Simplifying 7 + 6x = -4(x + -5) + 7 Reorder the terms: 7 + 6x = -4(-5 + x) + 7 7 + 6x = (-5 * -4 + x * -4) + 7 7 + 6x = (20 + -4x) + 7 Reorder the terms: 7 + 6x = 20 + 7 + -4x Combine like terms: 20 + 7 = 27 7 + 6x = 27 + -4x Solving 7 + 6x = 27 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 7 + 6x + 4x = 27 + -4x + 4x Combine like terms: 6x + 4x = 10x 7 + 10x = 27 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + 10x = 27 + 0 7 + 10x = 27 Add '-7' to each side of the equation. 7 + -7 + 10x = 27 + -7 Combine like terms: 7 + -7 = 0 0 + 10x = 27 + -7 10x = 27 + -7 Combine like terms: 27 + -7 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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