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Simplifying -6X + 7 = 3(2X + -3) + -4(-10 + 4X) Reorder the terms: 7 + -6X = 3(2X + -3) + -4(-10 + 4X) Reorder the terms: 7 + -6X = 3(-3 + 2X) + -4(-10 + 4X) 7 + -6X = (-3 * 3 + 2X * 3) + -4(-10 + 4X) 7 + -6X = (-9 + 6X) + -4(-10 + 4X) 7 + -6X = -9 + 6X + (-10 * -4 + 4X * -4) 7 + -6X = -9 + 6X + (40 + -16X) Reorder the terms: 7 + -6X = -9 + 40 + 6X + -16X Combine like terms: -9 + 40 = 31 7 + -6X = 31 + 6X + -16X Combine like terms: 6X + -16X = -10X 7 + -6X = 31 + -10X Solving 7 + -6X = 31 + -10X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '10X' to each side of the equation. 7 + -6X + 10X = 31 + -10X + 10X Combine like terms: -6X + 10X = 4X 7 + 4X = 31 + -10X + 10X Combine like terms: -10X + 10X = 0 7 + 4X = 31 + 0 7 + 4X = 31 Add '-7' to each side of the equation. 7 + -7 + 4X = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 4X = 31 + -7 4X = 31 + -7 Combine like terms: 31 + -7 = 24 4X = 24 Divide each side by '4'. X = 6 Simplifying X = 6
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