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Simplifying 12 + 8(2x + 3) = (x + 7) + -16 Reorder the terms: 12 + 8(3 + 2x) = (x + 7) + -16 12 + (3 * 8 + 2x * 8) = (x + 7) + -16 12 + (24 + 16x) = (x + 7) + -16 Combine like terms: 12 + 24 = 36 36 + 16x = (x + 7) + -16 Reorder the terms: 36 + 16x = (7 + x) + -16 Remove parenthesis around (7 + x) 36 + 16x = 7 + x + -16 Reorder the terms: 36 + 16x = 7 + -16 + x Combine like terms: 7 + -16 = -9 36 + 16x = -9 + x Solving 36 + 16x = -9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 36 + 16x + -1x = -9 + x + -1x Combine like terms: 16x + -1x = 15x 36 + 15x = -9 + x + -1x Combine like terms: x + -1x = 0 36 + 15x = -9 + 0 36 + 15x = -9 Add '-36' to each side of the equation. 36 + -36 + 15x = -9 + -36 Combine like terms: 36 + -36 = 0 0 + 15x = -9 + -36 15x = -9 + -36 Combine like terms: -9 + -36 = -45 15x = -45 Divide each side by '15'. x = -3 Simplifying x = -3
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