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Simplifying -6 + -1(8X + 7) = 3(-2X + 8) + 1 Reorder the terms: -6 + -1(7 + 8X) = 3(-2X + 8) + 1 -6 + (7 * -1 + 8X * -1) = 3(-2X + 8) + 1 -6 + (-7 + -8X) = 3(-2X + 8) + 1 Combine like terms: -6 + -7 = -13 -13 + -8X = 3(-2X + 8) + 1 Reorder the terms: -13 + -8X = 3(8 + -2X) + 1 -13 + -8X = (8 * 3 + -2X * 3) + 1 -13 + -8X = (24 + -6X) + 1 Reorder the terms: -13 + -8X = 24 + 1 + -6X Combine like terms: 24 + 1 = 25 -13 + -8X = 25 + -6X Solving -13 + -8X = 25 + -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. -13 + -8X + 6X = 25 + -6X + 6X Combine like terms: -8X + 6X = -2X -13 + -2X = 25 + -6X + 6X Combine like terms: -6X + 6X = 0 -13 + -2X = 25 + 0 -13 + -2X = 25 Add '13' to each side of the equation. -13 + 13 + -2X = 25 + 13 Combine like terms: -13 + 13 = 0 0 + -2X = 25 + 13 -2X = 25 + 13 Combine like terms: 25 + 13 = 38 -2X = 38 Divide each side by '-2'. X = -19 Simplifying X = -19
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