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Simplifying 2(x + -3) + 5(x + 1) = -3(-2x + 5) + -6 Reorder the terms: 2(-3 + x) + 5(x + 1) = -3(-2x + 5) + -6 (-3 * 2 + x * 2) + 5(x + 1) = -3(-2x + 5) + -6 (-6 + 2x) + 5(x + 1) = -3(-2x + 5) + -6 Reorder the terms: -6 + 2x + 5(1 + x) = -3(-2x + 5) + -6 -6 + 2x + (1 * 5 + x * 5) = -3(-2x + 5) + -6 -6 + 2x + (5 + 5x) = -3(-2x + 5) + -6 Reorder the terms: -6 + 5 + 2x + 5x = -3(-2x + 5) + -6 Combine like terms: -6 + 5 = -1 -1 + 2x + 5x = -3(-2x + 5) + -6 Combine like terms: 2x + 5x = 7x -1 + 7x = -3(-2x + 5) + -6 Reorder the terms: -1 + 7x = -3(5 + -2x) + -6 -1 + 7x = (5 * -3 + -2x * -3) + -6 -1 + 7x = (-15 + 6x) + -6 Reorder the terms: -1 + 7x = -15 + -6 + 6x Combine like terms: -15 + -6 = -21 -1 + 7x = -21 + 6x Solving -1 + 7x = -21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -1 + 7x + -6x = -21 + 6x + -6x Combine like terms: 7x + -6x = 1x -1 + 1x = -21 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + 1x = -21 + 0 -1 + 1x = -21 Add '1' to each side of the equation. -1 + 1 + 1x = -21 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = -21 + 1 1x = -21 + 1 Combine like terms: -21 + 1 = -20 1x = -20 Divide each side by '1'. x = -20 Simplifying x = -20
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