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Simplifying 3(2x + -5) + -1x = -7(x + 3) Reorder the terms: 3(-5 + 2x) + -1x = -7(x + 3) (-5 * 3 + 2x * 3) + -1x = -7(x + 3) (-15 + 6x) + -1x = -7(x + 3) Combine like terms: 6x + -1x = 5x -15 + 5x = -7(x + 3) Reorder the terms: -15 + 5x = -7(3 + x) -15 + 5x = (3 * -7 + x * -7) -15 + 5x = (-21 + -7x) Solving -15 + 5x = -21 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -15 + 5x + 7x = -21 + -7x + 7x Combine like terms: 5x + 7x = 12x -15 + 12x = -21 + -7x + 7x Combine like terms: -7x + 7x = 0 -15 + 12x = -21 + 0 -15 + 12x = -21 Add '15' to each side of the equation. -15 + 15 + 12x = -21 + 15 Combine like terms: -15 + 15 = 0 0 + 12x = -21 + 15 12x = -21 + 15 Combine like terms: -21 + 15 = -6 12x = -6 Divide each side by '12'. x = -0.5 Simplifying x = -0.5
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