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Simplifying (6 + 4x) * 4 = 8(x + 5) + 54 + -2x Reorder the terms for easier multiplication: 4(6 + 4x) = 8(x + 5) + 54 + -2x (6 * 4 + 4x * 4) = 8(x + 5) + 54 + -2x (24 + 16x) = 8(x + 5) + 54 + -2x Reorder the terms: 24 + 16x = 8(5 + x) + 54 + -2x 24 + 16x = (5 * 8 + x * 8) + 54 + -2x 24 + 16x = (40 + 8x) + 54 + -2x Reorder the terms: 24 + 16x = 40 + 54 + 8x + -2x Combine like terms: 40 + 54 = 94 24 + 16x = 94 + 8x + -2x Combine like terms: 8x + -2x = 6x 24 + 16x = 94 + 6x Solving 24 + 16x = 94 + 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. 24 + 16x + -6x = 94 + 6x + -6x Combine like terms: 16x + -6x = 10x 24 + 10x = 94 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + 10x = 94 + 0 24 + 10x = 94 Add '-24' to each side of the equation. 24 + -24 + 10x = 94 + -24 Combine like terms: 24 + -24 = 0 0 + 10x = 94 + -24 10x = 94 + -24 Combine like terms: 94 + -24 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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