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Simplifying 7 + -2(1 + -3x) + 16 = 8x + 11 7 + (1 * -2 + -3x * -2) + 16 = 8x + 11 7 + (-2 + 6x) + 16 = 8x + 11 Reorder the terms: 7 + -2 + 16 + 6x = 8x + 11 Combine like terms: 7 + -2 = 5 5 + 16 + 6x = 8x + 11 Combine like terms: 5 + 16 = 21 21 + 6x = 8x + 11 Reorder the terms: 21 + 6x = 11 + 8x Solving 21 + 6x = 11 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 21 + 6x + -8x = 11 + 8x + -8x Combine like terms: 6x + -8x = -2x 21 + -2x = 11 + 8x + -8x Combine like terms: 8x + -8x = 0 21 + -2x = 11 + 0 21 + -2x = 11 Add '-21' to each side of the equation. 21 + -21 + -2x = 11 + -21 Combine like terms: 21 + -21 = 0 0 + -2x = 11 + -21 -2x = 11 + -21 Combine like terms: 11 + -21 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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