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Simplifying 5 + -3(2x + -11) = x + 5 + 8 + -6x Reorder the terms: 5 + -3(-11 + 2x) = x + 5 + 8 + -6x 5 + (-11 * -3 + 2x * -3) = x + 5 + 8 + -6x 5 + (33 + -6x) = x + 5 + 8 + -6x Combine like terms: 5 + 33 = 38 38 + -6x = x + 5 + 8 + -6x Reorder the terms: 38 + -6x = 5 + 8 + x + -6x Combine like terms: 5 + 8 = 13 38 + -6x = 13 + x + -6x Combine like terms: x + -6x = -5x 38 + -6x = 13 + -5x Solving 38 + -6x = 13 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 38 + -6x + 5x = 13 + -5x + 5x Combine like terms: -6x + 5x = -1x 38 + -1x = 13 + -5x + 5x Combine like terms: -5x + 5x = 0 38 + -1x = 13 + 0 38 + -1x = 13 Add '-38' to each side of the equation. 38 + -38 + -1x = 13 + -38 Combine like terms: 38 + -38 = 0 0 + -1x = 13 + -38 -1x = 13 + -38 Combine like terms: 13 + -38 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25
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