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Simplifying -83 = 7x + 4(2x + 13) Reorder the terms: -83 = 7x + 4(13 + 2x) -83 = 7x + (13 * 4 + 2x * 4) -83 = 7x + (52 + 8x) Reorder the terms: -83 = 52 + 7x + 8x Combine like terms: 7x + 8x = 15x -83 = 52 + 15x Solving -83 = 52 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -83 + -15x = 52 + 15x + -15x Combine like terms: 15x + -15x = 0 -83 + -15x = 52 + 0 -83 + -15x = 52 Add '83' to each side of the equation. -83 + 83 + -15x = 52 + 83 Combine like terms: -83 + 83 = 0 0 + -15x = 52 + 83 -15x = 52 + 83 Combine like terms: 52 + 83 = 135 -15x = 135 Divide each side by '-15'. x = -9 Simplifying x = -9
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