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Simplifying 7(3x + -6) + 5(x + -3) + 4(17 + -1x) = 11 Reorder the terms: 7(-6 + 3x) + 5(x + -3) + 4(17 + -1x) = 11 (-6 * 7 + 3x * 7) + 5(x + -3) + 4(17 + -1x) = 11 (-42 + 21x) + 5(x + -3) + 4(17 + -1x) = 11 Reorder the terms: -42 + 21x + 5(-3 + x) + 4(17 + -1x) = 11 -42 + 21x + (-3 * 5 + x * 5) + 4(17 + -1x) = 11 -42 + 21x + (-15 + 5x) + 4(17 + -1x) = 11 -42 + 21x + -15 + 5x + (17 * 4 + -1x * 4) = 11 -42 + 21x + -15 + 5x + (68 + -4x) = 11 Reorder the terms: -42 + -15 + 68 + 21x + 5x + -4x = 11 Combine like terms: -42 + -15 = -57 -57 + 68 + 21x + 5x + -4x = 11 Combine like terms: -57 + 68 = 11 11 + 21x + 5x + -4x = 11 Combine like terms: 21x + 5x = 26x 11 + 26x + -4x = 11 Combine like terms: 26x + -4x = 22x 11 + 22x = 11 Add '-11' to each side of the equation. 11 + -11 + 22x = 11 + -11 Combine like terms: 11 + -11 = 0 0 + 22x = 11 + -11 22x = 11 + -11 Combine like terms: 11 + -11 = 0 22x = 0 Solving 22x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '22'. x = 0 Simplifying x = 0
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