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Simplifying -23 + 8x = -7 + 8(2x + 6) Reorder the terms: -23 + 8x = -7 + 8(6 + 2x) -23 + 8x = -7 + (6 * 8 + 2x * 8) -23 + 8x = -7 + (48 + 16x) Combine like terms: -7 + 48 = 41 -23 + 8x = 41 + 16x Solving -23 + 8x = 41 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -23 + 8x + -16x = 41 + 16x + -16x Combine like terms: 8x + -16x = -8x -23 + -8x = 41 + 16x + -16x Combine like terms: 16x + -16x = 0 -23 + -8x = 41 + 0 -23 + -8x = 41 Add '23' to each side of the equation. -23 + 23 + -8x = 41 + 23 Combine like terms: -23 + 23 = 0 0 + -8x = 41 + 23 -8x = 41 + 23 Combine like terms: 41 + 23 = 64 -8x = 64 Divide each side by '-8'. x = -8 Simplifying x = -8
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