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Simplifying 2(x + 4) + -5 = -4(x + -4) + 11 Reorder the terms: 2(4 + x) + -5 = -4(x + -4) + 11 (4 * 2 + x * 2) + -5 = -4(x + -4) + 11 (8 + 2x) + -5 = -4(x + -4) + 11 Reorder the terms: 8 + -5 + 2x = -4(x + -4) + 11 Combine like terms: 8 + -5 = 3 3 + 2x = -4(x + -4) + 11 Reorder the terms: 3 + 2x = -4(-4 + x) + 11 3 + 2x = (-4 * -4 + x * -4) + 11 3 + 2x = (16 + -4x) + 11 Reorder the terms: 3 + 2x = 16 + 11 + -4x Combine like terms: 16 + 11 = 27 3 + 2x = 27 + -4x Solving 3 + 2x = 27 + -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. 3 + 2x + 4x = 27 + -4x + 4x Combine like terms: 2x + 4x = 6x 3 + 6x = 27 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + 6x = 27 + 0 3 + 6x = 27 Add '-3' to each side of the equation. 3 + -3 + 6x = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = 27 + -3 6x = 27 + -3 Combine like terms: 27 + -3 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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