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Simplifying 3(x + -5) + -36 = 2(x + -8) Reorder the terms: 3(-5 + x) + -36 = 2(x + -8) (-5 * 3 + x * 3) + -36 = 2(x + -8) (-15 + 3x) + -36 = 2(x + -8) Reorder the terms: -15 + -36 + 3x = 2(x + -8) Combine like terms: -15 + -36 = -51 -51 + 3x = 2(x + -8) Reorder the terms: -51 + 3x = 2(-8 + x) -51 + 3x = (-8 * 2 + x * 2) -51 + 3x = (-16 + 2x) Solving -51 + 3x = -16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -51 + 3x + -2x = -16 + 2x + -2x Combine like terms: 3x + -2x = 1x -51 + 1x = -16 + 2x + -2x Combine like terms: 2x + -2x = 0 -51 + 1x = -16 + 0 -51 + 1x = -16 Add '51' to each side of the equation. -51 + 51 + 1x = -16 + 51 Combine like terms: -51 + 51 = 0 0 + 1x = -16 + 51 1x = -16 + 51 Combine like terms: -16 + 51 = 35 1x = 35 Divide each side by '1'. x = 35 Simplifying x = 35
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