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Simplifying 3x + -13 = 4(x + 1) + 16x + 1 Reorder the terms: -13 + 3x = 4(x + 1) + 16x + 1 Reorder the terms: -13 + 3x = 4(1 + x) + 16x + 1 -13 + 3x = (1 * 4 + x * 4) + 16x + 1 -13 + 3x = (4 + 4x) + 16x + 1 Reorder the terms: -13 + 3x = 4 + 1 + 4x + 16x Combine like terms: 4 + 1 = 5 -13 + 3x = 5 + 4x + 16x Combine like terms: 4x + 16x = 20x -13 + 3x = 5 + 20x Solving -13 + 3x = 5 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -13 + 3x + -20x = 5 + 20x + -20x Combine like terms: 3x + -20x = -17x -13 + -17x = 5 + 20x + -20x Combine like terms: 20x + -20x = 0 -13 + -17x = 5 + 0 -13 + -17x = 5 Add '13' to each side of the equation. -13 + 13 + -17x = 5 + 13 Combine like terms: -13 + 13 = 0 0 + -17x = 5 + 13 -17x = 5 + 13 Combine like terms: 5 + 13 = 18 -17x = 18 Divide each side by '-17'. x = -1.058823529 Simplifying x = -1.058823529
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