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Simplifying 5x + 3(x + -4) = 2x + 1 Reorder the terms: 5x + 3(-4 + x) = 2x + 1 5x + (-4 * 3 + x * 3) = 2x + 1 5x + (-12 + 3x) = 2x + 1 Reorder the terms: -12 + 5x + 3x = 2x + 1 Combine like terms: 5x + 3x = 8x -12 + 8x = 2x + 1 Reorder the terms: -12 + 8x = 1 + 2x Solving -12 + 8x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + 8x + -2x = 1 + 2x + -2x Combine like terms: 8x + -2x = 6x -12 + 6x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 6x = 1 + 0 -12 + 6x = 1 Add '12' to each side of the equation. -12 + 12 + 6x = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 1 + 12 6x = 1 + 12 Combine like terms: 1 + 12 = 13 6x = 13 Divide each side by '6'. x = 2.166666667 Simplifying x = 2.166666667
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