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Simplifying 24X + -7(-3X + -4) = 8(4X + -8) + 1 Reorder the terms: 24X + -7(-4 + -3X) = 8(4X + -8) + 1 24X + (-4 * -7 + -3X * -7) = 8(4X + -8) + 1 24X + (28 + 21X) = 8(4X + -8) + 1 Reorder the terms: 28 + 24X + 21X = 8(4X + -8) + 1 Combine like terms: 24X + 21X = 45X 28 + 45X = 8(4X + -8) + 1 Reorder the terms: 28 + 45X = 8(-8 + 4X) + 1 28 + 45X = (-8 * 8 + 4X * 8) + 1 28 + 45X = (-64 + 32X) + 1 Reorder the terms: 28 + 45X = -64 + 1 + 32X Combine like terms: -64 + 1 = -63 28 + 45X = -63 + 32X Solving 28 + 45X = -63 + 32X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-32X' to each side of the equation. 28 + 45X + -32X = -63 + 32X + -32X Combine like terms: 45X + -32X = 13X 28 + 13X = -63 + 32X + -32X Combine like terms: 32X + -32X = 0 28 + 13X = -63 + 0 28 + 13X = -63 Add '-28' to each side of the equation. 28 + -28 + 13X = -63 + -28 Combine like terms: 28 + -28 = 0 0 + 13X = -63 + -28 13X = -63 + -28 Combine like terms: -63 + -28 = -91 13X = -91 Divide each side by '13'. X = -7 Simplifying X = -7
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