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Simplifying (x + 5) * 8 = (x + -3) * 16 Reorder the terms: (5 + x) * 8 = (x + -3) * 16 Reorder the terms for easier multiplication: 8(5 + x) = (x + -3) * 16 (5 * 8 + x * 8) = (x + -3) * 16 (40 + 8x) = (x + -3) * 16 Reorder the terms: 40 + 8x = (-3 + x) * 16 Reorder the terms for easier multiplication: 40 + 8x = 16(-3 + x) 40 + 8x = (-3 * 16 + x * 16) 40 + 8x = (-48 + 16x) Solving 40 + 8x = -48 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 40 + 8x + -16x = -48 + 16x + -16x Combine like terms: 8x + -16x = -8x 40 + -8x = -48 + 16x + -16x Combine like terms: 16x + -16x = 0 40 + -8x = -48 + 0 40 + -8x = -48 Add '-40' to each side of the equation. 40 + -40 + -8x = -48 + -40 Combine like terms: 40 + -40 = 0 0 + -8x = -48 + -40 -8x = -48 + -40 Combine like terms: -48 + -40 = -88 -8x = -88 Divide each side by '-8'. x = 11 Simplifying x = 11
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