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Simplifying 8(19x + -31) = 16(22 + 2x) Reorder the terms: 8(-31 + 19x) = 16(22 + 2x) (-31 * 8 + 19x * 8) = 16(22 + 2x) (-248 + 152x) = 16(22 + 2x) -248 + 152x = (22 * 16 + 2x * 16) -248 + 152x = (352 + 32x) Solving -248 + 152x = 352 + 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. -248 + 152x + -32x = 352 + 32x + -32x Combine like terms: 152x + -32x = 120x -248 + 120x = 352 + 32x + -32x Combine like terms: 32x + -32x = 0 -248 + 120x = 352 + 0 -248 + 120x = 352 Add '248' to each side of the equation. -248 + 248 + 120x = 352 + 248 Combine like terms: -248 + 248 = 0 0 + 120x = 352 + 248 120x = 352 + 248 Combine like terms: 352 + 248 = 600 120x = 600 Divide each side by '120'. x = 5 Simplifying x = 5
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