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Simplifying 2(x + 8) * 3 = 4(x + 10) Reorder the terms: 2(8 + x) * 3 = 4(x + 10) Reorder the terms for easier multiplication: 2 * 3(8 + x) = 4(x + 10) Multiply 2 * 3 6(8 + x) = 4(x + 10) (8 * 6 + x * 6) = 4(x + 10) (48 + 6x) = 4(x + 10) Reorder the terms: 48 + 6x = 4(10 + x) 48 + 6x = (10 * 4 + x * 4) 48 + 6x = (40 + 4x) Solving 48 + 6x = 40 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 48 + 6x + -4x = 40 + 4x + -4x Combine like terms: 6x + -4x = 2x 48 + 2x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 48 + 2x = 40 + 0 48 + 2x = 40 Add '-48' to each side of the equation. 48 + -48 + 2x = 40 + -48 Combine like terms: 48 + -48 = 0 0 + 2x = 40 + -48 2x = 40 + -48 Combine like terms: 40 + -48 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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