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Simplifying 23 + 6x = -7 + 8(4x + -6) Reorder the terms: 23 + 6x = -7 + 8(-6 + 4x) 23 + 6x = -7 + (-6 * 8 + 4x * 8) 23 + 6x = -7 + (-48 + 32x) Combine like terms: -7 + -48 = -55 23 + 6x = -55 + 32x Solving 23 + 6x = -55 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 23 + 6x + -32x = -55 + 32x + -32x Combine like terms: 6x + -32x = -26x 23 + -26x = -55 + 32x + -32x Combine like terms: 32x + -32x = 0 23 + -26x = -55 + 0 23 + -26x = -55 Add '-23' to each side of the equation. 23 + -23 + -26x = -55 + -23 Combine like terms: 23 + -23 = 0 0 + -26x = -55 + -23 -26x = -55 + -23 Combine like terms: -55 + -23 = -78 -26x = -78 Divide each side by '-26'. x = 3 Simplifying x = 3
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