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Simplifying 2(2x + -8) + -5 = 2(x + -3) + -1 Reorder the terms: 2(-8 + 2x) + -5 = 2(x + -3) + -1 (-8 * 2 + 2x * 2) + -5 = 2(x + -3) + -1 (-16 + 4x) + -5 = 2(x + -3) + -1 Reorder the terms: -16 + -5 + 4x = 2(x + -3) + -1 Combine like terms: -16 + -5 = -21 -21 + 4x = 2(x + -3) + -1 Reorder the terms: -21 + 4x = 2(-3 + x) + -1 -21 + 4x = (-3 * 2 + x * 2) + -1 -21 + 4x = (-6 + 2x) + -1 Reorder the terms: -21 + 4x = -6 + -1 + 2x Combine like terms: -6 + -1 = -7 -21 + 4x = -7 + 2x Solving -21 + 4x = -7 + 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 = -7 + 2x + -2x Combine like terms: 4x + -2x = 2x -21 + 2x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 -21 + 2x = -7 + 0 -21 + 2x = -7 Add '21' to each side of the equation. -21 + 21 + 2x = -7 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = -7 + 21 2x = -7 + 21 Combine like terms: -7 + 21 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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