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Simplifying 22(-1x + 2) + 4(5x + -10) = 2 + 4(-1x + 7) Reorder the terms: 22(2 + -1x) + 4(5x + -10) = 2 + 4(-1x + 7) (2 * 22 + -1x * 22) + 4(5x + -10) = 2 + 4(-1x + 7) (44 + -22x) + 4(5x + -10) = 2 + 4(-1x + 7) Reorder the terms: 44 + -22x + 4(-10 + 5x) = 2 + 4(-1x + 7) 44 + -22x + (-10 * 4 + 5x * 4) = 2 + 4(-1x + 7) 44 + -22x + (-40 + 20x) = 2 + 4(-1x + 7) Reorder the terms: 44 + -40 + -22x + 20x = 2 + 4(-1x + 7) Combine like terms: 44 + -40 = 4 4 + -22x + 20x = 2 + 4(-1x + 7) Combine like terms: -22x + 20x = -2x 4 + -2x = 2 + 4(-1x + 7) Reorder the terms: 4 + -2x = 2 + 4(7 + -1x) 4 + -2x = 2 + (7 * 4 + -1x * 4) 4 + -2x = 2 + (28 + -4x) Combine like terms: 2 + 28 = 30 4 + -2x = 30 + -4x Solving 4 + -2x = 30 + -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. 4 + -2x + 4x = 30 + -4x + 4x Combine like terms: -2x + 4x = 2x 4 + 2x = 30 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + 2x = 30 + 0 4 + 2x = 30 Add '-4' to each side of the equation. 4 + -4 + 2x = 30 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 30 + -4 2x = 30 + -4 Combine like terms: 30 + -4 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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