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Simplifying 8(-3x + 1) = 23(x + 1) Reorder the terms: 8(1 + -3x) = 23(x + 1) (1 * 8 + -3x * 8) = 23(x + 1) (8 + -24x) = 23(x + 1) Reorder the terms: 8 + -24x = 23(1 + x) 8 + -24x = (1 * 23 + x * 23) 8 + -24x = (23 + 23x) Solving 8 + -24x = 23 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. 8 + -24x + -23x = 23 + 23x + -23x Combine like terms: -24x + -23x = -47x 8 + -47x = 23 + 23x + -23x Combine like terms: 23x + -23x = 0 8 + -47x = 23 + 0 8 + -47x = 23 Add '-8' to each side of the equation. 8 + -8 + -47x = 23 + -8 Combine like terms: 8 + -8 = 0 0 + -47x = 23 + -8 -47x = 23 + -8 Combine like terms: 23 + -8 = 15 -47x = 15 Divide each side by '-47'. x = -0.3191489362 Simplifying x = -0.3191489362
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