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Simplifying 23(16 + -1x) = 5(2x + 1) (16 * 23 + -1x * 23) = 5(2x + 1) (368 + -23x) = 5(2x + 1) Reorder the terms: 368 + -23x = 5(1 + 2x) 368 + -23x = (1 * 5 + 2x * 5) 368 + -23x = (5 + 10x) Solving 368 + -23x = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 368 + -23x + -10x = 5 + 10x + -10x Combine like terms: -23x + -10x = -33x 368 + -33x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 368 + -33x = 5 + 0 368 + -33x = 5 Add '-368' to each side of the equation. 368 + -368 + -33x = 5 + -368 Combine like terms: 368 + -368 = 0 0 + -33x = 5 + -368 -33x = 5 + -368 Combine like terms: 5 + -368 = -363 -33x = -363 Divide each side by '-33'. x = 11 Simplifying x = 11
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