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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 = -13 7 + 6x = -13 + 4x Solving 7 + 6x = -13 + 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 = -13 + 4x + -4x Combine like terms: 6x + -4x = 2x 7 + 2x = -13 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + 2x = -13 + 0 7 + 2x = -13 Add '-7' to each side of the equation. 7 + -7 + 2x = -13 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = -13 + -7 2x = -13 + -7 Combine like terms: -13 + -7 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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