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Simplifying 5x + 2(11 + -4x) = 8(-2t + 11) 5x + (11 * 2 + -4x * 2) = 8(-2t + 11) 5x + (22 + -8x) = 8(-2t + 11) Reorder the terms: 22 + 5x + -8x = 8(-2t + 11) Combine like terms: 5x + -8x = -3x 22 + -3x = 8(-2t + 11) Reorder the terms: 22 + -3x = 8(11 + -2t) 22 + -3x = (11 * 8 + -2t * 8) 22 + -3x = (88 + -16t) Solving 22 + -3x = 88 + -16t Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -3x = 88 + -22 + -16t Combine like terms: 22 + -22 = 0 0 + -3x = 88 + -22 + -16t -3x = 88 + -22 + -16t Combine like terms: 88 + -22 = 66 -3x = 66 + -16t Divide each side by '-3'. x = -22 + 5.333333333t Simplifying x = -22 + 5.333333333t
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