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Simplifying 8X + 4(4x + -3) * a = 4(6x + 4) + -4 Reorder the terms: 8X + 4(-3 + 4x) * a = 4(6x + 4) + -4 Reorder the terms for easier multiplication: 8X + 4a(-3 + 4x) = 4(6x + 4) + -4 8X + (-3 * 4a + 4x * 4a) = 4(6x + 4) + -4 8X + (-12a + 16ax) = 4(6x + 4) + -4 Reorder the terms: 8X + -12a + 16ax = 4(4 + 6x) + -4 8X + -12a + 16ax = (4 * 4 + 6x * 4) + -4 8X + -12a + 16ax = (16 + 24x) + -4 Reorder the terms: 8X + -12a + 16ax = 16 + -4 + 24x Combine like terms: 16 + -4 = 12 8X + -12a + 16ax = 12 + 24x Solving 8X + -12a + 16ax = 12 + 24x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '12a' to each side of the equation. 8X + -12a + 12a + 16ax = 12 + 12a + 24x Combine like terms: -12a + 12a = 0 8X + 0 + 16ax = 12 + 12a + 24x 8X + 16ax = 12 + 12a + 24x Add '-16ax' to each side of the equation. 8X + 16ax + -16ax = 12 + 12a + -16ax + 24x Combine like terms: 16ax + -16ax = 0 8X + 0 = 12 + 12a + -16ax + 24x 8X = 12 + 12a + -16ax + 24x Divide each side by '8'. X = 1.5 + 1.5a + -2ax + 3x Simplifying X = 1.5 + 1.5a + -2ax + 3x
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