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Simplifying 5x + -2(x + -3) = -7 + 5x + -1 Reorder the terms: 5x + -2(-3 + x) = -7 + 5x + -1 5x + (-3 * -2 + x * -2) = -7 + 5x + -1 5x + (6 + -2x) = -7 + 5x + -1 Reorder the terms: 6 + 5x + -2x = -7 + 5x + -1 Combine like terms: 5x + -2x = 3x 6 + 3x = -7 + 5x + -1 Reorder the terms: 6 + 3x = -7 + -1 + 5x Combine like terms: -7 + -1 = -8 6 + 3x = -8 + 5x Solving 6 + 3x = -8 + 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. 6 + 3x + -5x = -8 + 5x + -5x Combine like terms: 3x + -5x = -2x 6 + -2x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -2x = -8 + 0 6 + -2x = -8 Add '-6' to each side of the equation. 6 + -6 + -2x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = -8 + -6 -2x = -8 + -6 Combine like terms: -8 + -6 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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