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Simplifying 8x + 4(4x + -3) = 3(6x + 4) + 6 Reorder the terms: 8x + 4(-3 + 4x) = 3(6x + 4) + 6 8x + (-3 * 4 + 4x * 4) = 3(6x + 4) + 6 8x + (-12 + 16x) = 3(6x + 4) + 6 Reorder the terms: -12 + 8x + 16x = 3(6x + 4) + 6 Combine like terms: 8x + 16x = 24x -12 + 24x = 3(6x + 4) + 6 Reorder the terms: -12 + 24x = 3(4 + 6x) + 6 -12 + 24x = (4 * 3 + 6x * 3) + 6 -12 + 24x = (12 + 18x) + 6 Reorder the terms: -12 + 24x = 12 + 6 + 18x Combine like terms: 12 + 6 = 18 -12 + 24x = 18 + 18x Solving -12 + 24x = 18 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -12 + 24x + -18x = 18 + 18x + -18x Combine like terms: 24x + -18x = 6x -12 + 6x = 18 + 18x + -18x Combine like terms: 18x + -18x = 0 -12 + 6x = 18 + 0 -12 + 6x = 18 Add '12' to each side of the equation. -12 + 12 + 6x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 18 + 12 6x = 18 + 12 Combine like terms: 18 + 12 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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