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Simplifying 5(-1x + -2) = 3(-4x + -3) + 6(x + 1) Reorder the terms: 5(-2 + -1x) = 3(-4x + -3) + 6(x + 1) (-2 * 5 + -1x * 5) = 3(-4x + -3) + 6(x + 1) (-10 + -5x) = 3(-4x + -3) + 6(x + 1) Reorder the terms: -10 + -5x = 3(-3 + -4x) + 6(x + 1) -10 + -5x = (-3 * 3 + -4x * 3) + 6(x + 1) -10 + -5x = (-9 + -12x) + 6(x + 1) Reorder the terms: -10 + -5x = -9 + -12x + 6(1 + x) -10 + -5x = -9 + -12x + (1 * 6 + x * 6) -10 + -5x = -9 + -12x + (6 + 6x) Reorder the terms: -10 + -5x = -9 + 6 + -12x + 6x Combine like terms: -9 + 6 = -3 -10 + -5x = -3 + -12x + 6x Combine like terms: -12x + 6x = -6x -10 + -5x = -3 + -6x Solving -10 + -5x = -3 + -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. -10 + -5x + 6x = -3 + -6x + 6x Combine like terms: -5x + 6x = 1x -10 + 1x = -3 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 + 1x = -3 + 0 -10 + 1x = -3 Add '10' to each side of the equation. -10 + 10 + 1x = -3 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -3 + 10 1x = -3 + 10 Combine like terms: -3 + 10 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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