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Simplifying -1(x + -2) + 6(x + -3) = -4(x + 1) Reorder the terms: -1(-2 + x) + 6(x + -3) = -4(x + 1) (-2 * -1 + x * -1) + 6(x + -3) = -4(x + 1) (2 + -1x) + 6(x + -3) = -4(x + 1) Reorder the terms: 2 + -1x + 6(-3 + x) = -4(x + 1) 2 + -1x + (-3 * 6 + x * 6) = -4(x + 1) 2 + -1x + (-18 + 6x) = -4(x + 1) Reorder the terms: 2 + -18 + -1x + 6x = -4(x + 1) Combine like terms: 2 + -18 = -16 -16 + -1x + 6x = -4(x + 1) Combine like terms: -1x + 6x = 5x -16 + 5x = -4(x + 1) Reorder the terms: -16 + 5x = -4(1 + x) -16 + 5x = (1 * -4 + x * -4) -16 + 5x = (-4 + -4x) Solving -16 + 5x = -4 + -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. -16 + 5x + 4x = -4 + -4x + 4x Combine like terms: 5x + 4x = 9x -16 + 9x = -4 + -4x + 4x Combine like terms: -4x + 4x = 0 -16 + 9x = -4 + 0 -16 + 9x = -4 Add '16' to each side of the equation. -16 + 16 + 9x = -4 + 16 Combine like terms: -16 + 16 = 0 0 + 9x = -4 + 16 9x = -4 + 16 Combine like terms: -4 + 16 = 12 9x = 12 Divide each side by '9'. x = 1.333333333 Simplifying x = 1.333333333
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