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Simplifying 3(2x + -5) = 4(x + -4) + -6 Reorder the terms: 3(-5 + 2x) = 4(x + -4) + -6 (-5 * 3 + 2x * 3) = 4(x + -4) + -6 (-15 + 6x) = 4(x + -4) + -6 Reorder the terms: -15 + 6x = 4(-4 + x) + -6 -15 + 6x = (-4 * 4 + x * 4) + -6 -15 + 6x = (-16 + 4x) + -6 Reorder the terms: -15 + 6x = -16 + -6 + 4x Combine like terms: -16 + -6 = -22 -15 + 6x = -22 + 4x Solving -15 + 6x = -22 + 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. -15 + 6x + -4x = -22 + 4x + -4x Combine like terms: 6x + -4x = 2x -15 + 2x = -22 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + 2x = -22 + 0 -15 + 2x = -22 Add '15' to each side of the equation. -15 + 15 + 2x = -22 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = -22 + 15 2x = -22 + 15 Combine like terms: -22 + 15 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5
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