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Simplifying 2(x + -8) + 7x + 3 = 3x + 5 Reorder the terms: 2(-8 + x) + 7x + 3 = 3x + 5 (-8 * 2 + x * 2) + 7x + 3 = 3x + 5 (-16 + 2x) + 7x + 3 = 3x + 5 Reorder the terms: -16 + 3 + 2x + 7x = 3x + 5 Combine like terms: -16 + 3 = -13 -13 + 2x + 7x = 3x + 5 Combine like terms: 2x + 7x = 9x -13 + 9x = 3x + 5 Reorder the terms: -13 + 9x = 5 + 3x Solving -13 + 9x = 5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -13 + 9x + -3x = 5 + 3x + -3x Combine like terms: 9x + -3x = 6x -13 + 6x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -13 + 6x = 5 + 0 -13 + 6x = 5 Add '13' to each side of the equation. -13 + 13 + 6x = 5 + 13 Combine like terms: -13 + 13 = 0 0 + 6x = 5 + 13 6x = 5 + 13 Combine like terms: 5 + 13 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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