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Simplifying 6(x + -4) + -3 = 4x + 1 Reorder the terms: 6(-4 + x) + -3 = 4x + 1 (-4 * 6 + x * 6) + -3 = 4x + 1 (-24 + 6x) + -3 = 4x + 1 Reorder the terms: -24 + -3 + 6x = 4x + 1 Combine like terms: -24 + -3 = -27 -27 + 6x = 4x + 1 Reorder the terms: -27 + 6x = 1 + 4x Solving -27 + 6x = 1 + 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. -27 + 6x + -4x = 1 + 4x + -4x Combine like terms: 6x + -4x = 2x -27 + 2x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -27 + 2x = 1 + 0 -27 + 2x = 1 Add '27' to each side of the equation. -27 + 27 + 2x = 1 + 27 Combine like terms: -27 + 27 = 0 0 + 2x = 1 + 27 2x = 1 + 27 Combine like terms: 1 + 27 = 28 2x = 28 Divide each side by '2'. x = 14 Simplifying x = 14
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