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Simplifying 267 = 6(-4 + 8x) + 3 267 = (-4 * 6 + 8x * 6) + 3 267 = (-24 + 48x) + 3 Reorder the terms: 267 = -24 + 3 + 48x Combine like terms: -24 + 3 = -21 267 = -21 + 48x Solving 267 = -21 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 267 + -48x = -21 + 48x + -48x Combine like terms: 48x + -48x = 0 267 + -48x = -21 + 0 267 + -48x = -21 Add '-267' to each side of the equation. 267 + -267 + -48x = -21 + -267 Combine like terms: 267 + -267 = 0 0 + -48x = -21 + -267 -48x = -21 + -267 Combine like terms: -21 + -267 = -288 -48x = -288 Divide each side by '-48'. x = 6 Simplifying x = 6
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