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Simplifying 8(x + 6) = 4(x + 19) Reorder the terms: 8(6 + x) = 4(x + 19) (6 * 8 + x * 8) = 4(x + 19) (48 + 8x) = 4(x + 19) Reorder the terms: 48 + 8x = 4(19 + x) 48 + 8x = (19 * 4 + x * 4) 48 + 8x = (76 + 4x) Solving 48 + 8x = 76 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 48 + 8x + -4x = 76 + 4x + -4x Combine like terms: 8x + -4x = 4x 48 + 4x = 76 + 4x + -4x Combine like terms: 4x + -4x = 0 48 + 4x = 76 + 0 48 + 4x = 76 Add '-48' to each side of the equation. 48 + -48 + 4x = 76 + -48 Combine like terms: 48 + -48 = 0 0 + 4x = 76 + -48 4x = 76 + -48 Combine like terms: 76 + -48 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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