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Simplifying x + (x + 2) = 24 + -4(x + 4) Reorder the terms: x + (2 + x) = 24 + -4(x + 4) Remove parenthesis around (2 + x) x + 2 + x = 24 + -4(x + 4) Reorder the terms: 2 + x + x = 24 + -4(x + 4) Combine like terms: x + x = 2x 2 + 2x = 24 + -4(x + 4) Reorder the terms: 2 + 2x = 24 + -4(4 + x) 2 + 2x = 24 + (4 * -4 + x * -4) 2 + 2x = 24 + (-16 + -4x) Combine like terms: 24 + -16 = 8 2 + 2x = 8 + -4x Solving 2 + 2x = 8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 2 + 2x + 4x = 8 + -4x + 4x Combine like terms: 2x + 4x = 6x 2 + 6x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + 6x = 8 + 0 2 + 6x = 8 Add '-2' to each side of the equation. 2 + -2 + 6x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 8 + -2 6x = 8 + -2 Combine like terms: 8 + -2 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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