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Simplifying 3(x + -5) + -1 = 2x + 6 Reorder the terms: 3(-5 + x) + -1 = 2x + 6 (-5 * 3 + x * 3) + -1 = 2x + 6 (-15 + 3x) + -1 = 2x + 6 Reorder the terms: -15 + -1 + 3x = 2x + 6 Combine like terms: -15 + -1 = -16 -16 + 3x = 2x + 6 Reorder the terms: -16 + 3x = 6 + 2x Solving -16 + 3x = 6 + 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. -16 + 3x + -2x = 6 + 2x + -2x Combine like terms: 3x + -2x = 1x -16 + 1x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -16 + 1x = 6 + 0 -16 + 1x = 6 Add '16' to each side of the equation. -16 + 16 + 1x = 6 + 16 Combine like terms: -16 + 16 = 0 0 + 1x = 6 + 16 1x = 6 + 16 Combine like terms: 6 + 16 = 22 1x = 22 Divide each side by '1'. x = 22 Simplifying x = 22
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