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Simplifying 2(x + 22) = 5 + 3(x + -2) + -4x Reorder the terms: 2(22 + x) = 5 + 3(x + -2) + -4x (22 * 2 + x * 2) = 5 + 3(x + -2) + -4x (44 + 2x) = 5 + 3(x + -2) + -4x Reorder the terms: 44 + 2x = 5 + 3(-2 + x) + -4x 44 + 2x = 5 + (-2 * 3 + x * 3) + -4x 44 + 2x = 5 + (-6 + 3x) + -4x Combine like terms: 5 + -6 = -1 44 + 2x = -1 + 3x + -4x Combine like terms: 3x + -4x = -1x 44 + 2x = -1 + -1x Solving 44 + 2x = -1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 44 + 2x + x = -1 + -1x + x Combine like terms: 2x + x = 3x 44 + 3x = -1 + -1x + x Combine like terms: -1x + x = 0 44 + 3x = -1 + 0 44 + 3x = -1 Add '-44' to each side of the equation. 44 + -44 + 3x = -1 + -44 Combine like terms: 44 + -44 = 0 0 + 3x = -1 + -44 3x = -1 + -44 Combine like terms: -1 + -44 = -45 3x = -45 Divide each side by '3'. x = -15 Simplifying x = -15
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