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Simplifying 3(x + -2) + -4x = 2(x + 22) + -5 Reorder the terms: 3(-2 + x) + -4x = 2(x + 22) + -5 (-2 * 3 + x * 3) + -4x = 2(x + 22) + -5 (-6 + 3x) + -4x = 2(x + 22) + -5 Combine like terms: 3x + -4x = -1x -6 + -1x = 2(x + 22) + -5 Reorder the terms: -6 + -1x = 2(22 + x) + -5 -6 + -1x = (22 * 2 + x * 2) + -5 -6 + -1x = (44 + 2x) + -5 Reorder the terms: -6 + -1x = 44 + -5 + 2x Combine like terms: 44 + -5 = 39 -6 + -1x = 39 + 2x Solving -6 + -1x = 39 + 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. -6 + -1x + -2x = 39 + 2x + -2x Combine like terms: -1x + -2x = -3x -6 + -3x = 39 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -3x = 39 + 0 -6 + -3x = 39 Add '6' to each side of the equation. -6 + 6 + -3x = 39 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 39 + 6 -3x = 39 + 6 Combine like terms: 39 + 6 = 45 -3x = 45 Divide each side by '-3'. x = -15 Simplifying x = -15
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