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Simplifying 7(3x + -6) + -22x = 110 + -11x + -4(17 + -1x) Reorder the terms: 7(-6 + 3x) + -22x = 110 + -11x + -4(17 + -1x) (-6 * 7 + 3x * 7) + -22x = 110 + -11x + -4(17 + -1x) (-42 + 21x) + -22x = 110 + -11x + -4(17 + -1x) Combine like terms: 21x + -22x = -1x -42 + -1x = 110 + -11x + -4(17 + -1x) -42 + -1x = 110 + -11x + (17 * -4 + -1x * -4) -42 + -1x = 110 + -11x + (-68 + 4x) Reorder the terms: -42 + -1x = 110 + -68 + -11x + 4x Combine like terms: 110 + -68 = 42 -42 + -1x = 42 + -11x + 4x Combine like terms: -11x + 4x = -7x -42 + -1x = 42 + -7x Solving -42 + -1x = 42 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -42 + -1x + 7x = 42 + -7x + 7x Combine like terms: -1x + 7x = 6x -42 + 6x = 42 + -7x + 7x Combine like terms: -7x + 7x = 0 -42 + 6x = 42 + 0 -42 + 6x = 42 Add '42' to each side of the equation. -42 + 42 + 6x = 42 + 42 Combine like terms: -42 + 42 = 0 0 + 6x = 42 + 42 6x = 42 + 42 Combine like terms: 42 + 42 = 84 6x = 84 Divide each side by '6'. x = 14 Simplifying x = 14
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