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Simplifying 3(x + -5) + 6 = 4x + -5 Reorder the terms: 3(-5 + x) + 6 = 4x + -5 (-5 * 3 + x * 3) + 6 = 4x + -5 (-15 + 3x) + 6 = 4x + -5 Reorder the terms: -15 + 6 + 3x = 4x + -5 Combine like terms: -15 + 6 = -9 -9 + 3x = 4x + -5 Reorder the terms: -9 + 3x = -5 + 4x Solving -9 + 3x = -5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -9 + 3x + -4x = -5 + 4x + -4x Combine like terms: 3x + -4x = -1x -9 + -1x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + -1x = -5 + 0 -9 + -1x = -5 Add '9' to each side of the equation. -9 + 9 + -1x = -5 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = -5 + 9 -1x = -5 + 9 Combine like terms: -5 + 9 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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