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Simplifying 3(x + -5) + 6 = 2(4x + 3) Reorder the terms: 3(-5 + x) + 6 = 2(4x + 3) (-5 * 3 + x * 3) + 6 = 2(4x + 3) (-15 + 3x) + 6 = 2(4x + 3) Reorder the terms: -15 + 6 + 3x = 2(4x + 3) Combine like terms: -15 + 6 = -9 -9 + 3x = 2(4x + 3) Reorder the terms: -9 + 3x = 2(3 + 4x) -9 + 3x = (3 * 2 + 4x * 2) -9 + 3x = (6 + 8x) Solving -9 + 3x = 6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -9 + 3x + -8x = 6 + 8x + -8x Combine like terms: 3x + -8x = -5x -9 + -5x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 -9 + -5x = 6 + 0 -9 + -5x = 6 Add '9' to each side of the equation. -9 + 9 + -5x = 6 + 9 Combine like terms: -9 + 9 = 0 0 + -5x = 6 + 9 -5x = 6 + 9 Combine like terms: 6 + 9 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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