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Simplifying 8(2 + -3x) + 24 = 2(4x + -3) (2 * 8 + -3x * 8) + 24 = 2(4x + -3) (16 + -24x) + 24 = 2(4x + -3) Reorder the terms: 16 + 24 + -24x = 2(4x + -3) Combine like terms: 16 + 24 = 40 40 + -24x = 2(4x + -3) Reorder the terms: 40 + -24x = 2(-3 + 4x) 40 + -24x = (-3 * 2 + 4x * 2) 40 + -24x = (-6 + 8x) Solving 40 + -24x = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 40 + -24x + -8x = -6 + 8x + -8x Combine like terms: -24x + -8x = -32x 40 + -32x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 40 + -32x = -6 + 0 40 + -32x = -6 Add '-40' to each side of the equation. 40 + -40 + -32x = -6 + -40 Combine like terms: 40 + -40 = 0 0 + -32x = -6 + -40 -32x = -6 + -40 Combine like terms: -6 + -40 = -46 -32x = -46 Divide each side by '-32'. x = 1.4375 Simplifying x = 1.4375
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