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Simplifying 10 + 3(2x + -4) = 3(4x + 1) + 5 Reorder the terms: 10 + 3(-4 + 2x) = 3(4x + 1) + 5 10 + (-4 * 3 + 2x * 3) = 3(4x + 1) + 5 10 + (-12 + 6x) = 3(4x + 1) + 5 Combine like terms: 10 + -12 = -2 -2 + 6x = 3(4x + 1) + 5 Reorder the terms: -2 + 6x = 3(1 + 4x) + 5 -2 + 6x = (1 * 3 + 4x * 3) + 5 -2 + 6x = (3 + 12x) + 5 Reorder the terms: -2 + 6x = 3 + 5 + 12x Combine like terms: 3 + 5 = 8 -2 + 6x = 8 + 12x Solving -2 + 6x = 8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -2 + 6x + -12x = 8 + 12x + -12x Combine like terms: 6x + -12x = -6x -2 + -6x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -6x = 8 + 0 -2 + -6x = 8 Add '2' to each side of the equation. -2 + 2 + -6x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = 8 + 2 -6x = 8 + 2 Combine like terms: 8 + 2 = 10 -6x = 10 Divide each side by '-6'. x = -1.666666667 Simplifying x = -1.666666667
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