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Simplifying -15 + -2(x + 4) = 2x + 21 Reorder the terms: -15 + -2(4 + x) = 2x + 21 -15 + (4 * -2 + x * -2) = 2x + 21 -15 + (-8 + -2x) = 2x + 21 Combine like terms: -15 + -8 = -23 -23 + -2x = 2x + 21 Reorder the terms: -23 + -2x = 21 + 2x Solving -23 + -2x = 21 + 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. -23 + -2x + -2x = 21 + 2x + -2x Combine like terms: -2x + -2x = -4x -23 + -4x = 21 + 2x + -2x Combine like terms: 2x + -2x = 0 -23 + -4x = 21 + 0 -23 + -4x = 21 Add '23' to each side of the equation. -23 + 23 + -4x = 21 + 23 Combine like terms: -23 + 23 = 0 0 + -4x = 21 + 23 -4x = 21 + 23 Combine like terms: 21 + 23 = 44 -4x = 44 Divide each side by '-4'. x = -11 Simplifying x = -11
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