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Simplifying 12x + 36 = 16(x + -1) Reorder the terms: 36 + 12x = 16(x + -1) Reorder the terms: 36 + 12x = 16(-1 + x) 36 + 12x = (-1 * 16 + x * 16) 36 + 12x = (-16 + 16x) Solving 36 + 12x = -16 + 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. 36 + 12x + -16x = -16 + 16x + -16x Combine like terms: 12x + -16x = -4x 36 + -4x = -16 + 16x + -16x Combine like terms: 16x + -16x = 0 36 + -4x = -16 + 0 36 + -4x = -16 Add '-36' to each side of the equation. 36 + -36 + -4x = -16 + -36 Combine like terms: 36 + -36 = 0 0 + -4x = -16 + -36 -4x = -16 + -36 Combine like terms: -16 + -36 = -52 -4x = -52 Divide each side by '-4'. x = 13 Simplifying x = 13
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