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Simplifying 3(x + -1) + (-2)(-4 + 6) = -6 + -1(-7 + 5)(-6 + 1) + 2x Reorder the terms: 3(-1 + x) + (-2)(-4 + 6) = -6 + -1(-7 + 5)(-6 + 1) + 2x (-1 * 3 + x * 3) + (-2)(-4 + 6) = -6 + -1(-7 + 5)(-6 + 1) + 2x (-3 + 3x) + (-2)(-4 + 6) = -6 + -1(-7 + 5)(-6 + 1) + 2x Combine like terms: -4 + 6 = 2 -3 + 3x + -2(2) = -6 + -1(-7 + 5)(-6 + 1) + 2x Multiply -2 * 2 -3 + 3x + -4 = -6 + -1(-7 + 5)(-6 + 1) + 2x Reorder the terms: -3 + -4 + 3x = -6 + -1(-7 + 5)(-6 + 1) + 2x Combine like terms: -3 + -4 = -7 -7 + 3x = -6 + -1(-7 + 5)(-6 + 1) + 2x Combine like terms: -7 + 5 = -2 -7 + 3x = -6 + -1(-2)(-6 + 1) + 2x Combine like terms: -6 + 1 = -5 -7 + 3x = -6 + -1 * -2(-5) + 2x Multiply -1 * -2 -7 + 3x = -6 + 2 * -5 + 2x Multiply 2 * -5 -7 + 3x = -6 + -10 + 2x Combine like terms: -6 + -10 = -16 -7 + 3x = -16 + 2x Solving -7 + 3x = -16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + 3x + -2x = -16 + 2x + -2x Combine like terms: 3x + -2x = 1x -7 + 1x = -16 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 1x = -16 + 0 -7 + 1x = -16 Add '7' to each side of the equation. -7 + 7 + 1x = -16 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = -16 + 7 1x = -16 + 7 Combine like terms: -16 + 7 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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