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Simplifying -7(x + -6) + -3x = 7 + -5x Reorder the terms: -7(-6 + x) + -3x = 7 + -5x (-6 * -7 + x * -7) + -3x = 7 + -5x (42 + -7x) + -3x = 7 + -5x Combine like terms: -7x + -3x = -10x 42 + -10x = 7 + -5x Solving 42 + -10x = 7 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 42 + -10x + 5x = 7 + -5x + 5x Combine like terms: -10x + 5x = -5x 42 + -5x = 7 + -5x + 5x Combine like terms: -5x + 5x = 0 42 + -5x = 7 + 0 42 + -5x = 7 Add '-42' to each side of the equation. 42 + -42 + -5x = 7 + -42 Combine like terms: 42 + -42 = 0 0 + -5x = 7 + -42 -5x = 7 + -42 Combine like terms: 7 + -42 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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