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Simplifying x + -3 = -4 + 7(x + -5) Reorder the terms: -3 + x = -4 + 7(x + -5) Reorder the terms: -3 + x = -4 + 7(-5 + x) -3 + x = -4 + (-5 * 7 + x * 7) -3 + x = -4 + (-35 + 7x) Combine like terms: -4 + -35 = -39 -3 + x = -39 + 7x Solving -3 + x = -39 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -3 + x + -7x = -39 + 7x + -7x Combine like terms: x + -7x = -6x -3 + -6x = -39 + 7x + -7x Combine like terms: 7x + -7x = 0 -3 + -6x = -39 + 0 -3 + -6x = -39 Add '3' to each side of the equation. -3 + 3 + -6x = -39 + 3 Combine like terms: -3 + 3 = 0 0 + -6x = -39 + 3 -6x = -39 + 3 Combine like terms: -39 + 3 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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