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Simplifying 13x + 3(x + 11) = 8x + -7 Reorder the terms: 13x + 3(11 + x) = 8x + -7 13x + (11 * 3 + x * 3) = 8x + -7 13x + (33 + 3x) = 8x + -7 Reorder the terms: 33 + 13x + 3x = 8x + -7 Combine like terms: 13x + 3x = 16x 33 + 16x = 8x + -7 Reorder the terms: 33 + 16x = -7 + 8x Solving 33 + 16x = -7 + 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. 33 + 16x + -8x = -7 + 8x + -8x Combine like terms: 16x + -8x = 8x 33 + 8x = -7 + 8x + -8x Combine like terms: 8x + -8x = 0 33 + 8x = -7 + 0 33 + 8x = -7 Add '-33' to each side of the equation. 33 + -33 + 8x = -7 + -33 Combine like terms: 33 + -33 = 0 0 + 8x = -7 + -33 8x = -7 + -33 Combine like terms: -7 + -33 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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