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Simplifying 8 + 3(x + -5) + x = 2(3 + 3x) Reorder the terms: 8 + 3(-5 + x) + x = 2(3 + 3x) 8 + (-5 * 3 + x * 3) + x = 2(3 + 3x) 8 + (-15 + 3x) + x = 2(3 + 3x) Combine like terms: 8 + -15 = -7 -7 + 3x + x = 2(3 + 3x) Combine like terms: 3x + x = 4x -7 + 4x = 2(3 + 3x) -7 + 4x = (3 * 2 + 3x * 2) -7 + 4x = (6 + 6x) Solving -7 + 4x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -7 + 4x + -6x = 6 + 6x + -6x Combine like terms: 4x + -6x = -2x -7 + -2x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -2x = 6 + 0 -7 + -2x = 6 Add '7' to each side of the equation. -7 + 7 + -2x = 6 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 6 + 7 -2x = 6 + 7 Combine like terms: 6 + 7 = 13 -2x = 13 Divide each side by '-2'. x = -6.5 Simplifying x = -6.5
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