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Simplifying 3x + 15 = 4(x + 9) + -20 Reorder the terms: 15 + 3x = 4(x + 9) + -20 Reorder the terms: 15 + 3x = 4(9 + x) + -20 15 + 3x = (9 * 4 + x * 4) + -20 15 + 3x = (36 + 4x) + -20 Reorder the terms: 15 + 3x = 36 + -20 + 4x Combine like terms: 36 + -20 = 16 15 + 3x = 16 + 4x Solving 15 + 3x = 16 + 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. 15 + 3x + -4x = 16 + 4x + -4x Combine like terms: 3x + -4x = -1x 15 + -1x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + -1x = 16 + 0 15 + -1x = 16 Add '-15' to each side of the equation. 15 + -15 + -1x = 16 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 16 + -15 -1x = 16 + -15 Combine like terms: 16 + -15 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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