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Simplifying 3x + -7(x + 3) = (-5 + x) * 2 + -5 Reorder the terms: 3x + -7(3 + x) = (-5 + x) * 2 + -5 3x + (3 * -7 + x * -7) = (-5 + x) * 2 + -5 3x + (-21 + -7x) = (-5 + x) * 2 + -5 Reorder the terms: -21 + 3x + -7x = (-5 + x) * 2 + -5 Combine like terms: 3x + -7x = -4x -21 + -4x = (-5 + x) * 2 + -5 Reorder the terms for easier multiplication: -21 + -4x = 2(-5 + x) + -5 -21 + -4x = (-5 * 2 + x * 2) + -5 -21 + -4x = (-10 + 2x) + -5 Reorder the terms: -21 + -4x = -10 + -5 + 2x Combine like terms: -10 + -5 = -15 -21 + -4x = -15 + 2x Solving -21 + -4x = -15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -21 + -4x + -2x = -15 + 2x + -2x Combine like terms: -4x + -2x = -6x -21 + -6x = -15 + 2x + -2x Combine like terms: 2x + -2x = 0 -21 + -6x = -15 + 0 -21 + -6x = -15 Add '21' to each side of the equation. -21 + 21 + -6x = -15 + 21 Combine like terms: -21 + 21 = 0 0 + -6x = -15 + 21 -6x = -15 + 21 Combine like terms: -15 + 21 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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