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Simplifying 4(3x + -9) + -3 = 4(x + -4) + 1 Reorder the terms: 4(-9 + 3x) + -3 = 4(x + -4) + 1 (-9 * 4 + 3x * 4) + -3 = 4(x + -4) + 1 (-36 + 12x) + -3 = 4(x + -4) + 1 Reorder the terms: -36 + -3 + 12x = 4(x + -4) + 1 Combine like terms: -36 + -3 = -39 -39 + 12x = 4(x + -4) + 1 Reorder the terms: -39 + 12x = 4(-4 + x) + 1 -39 + 12x = (-4 * 4 + x * 4) + 1 -39 + 12x = (-16 + 4x) + 1 Reorder the terms: -39 + 12x = -16 + 1 + 4x Combine like terms: -16 + 1 = -15 -39 + 12x = -15 + 4x Solving -39 + 12x = -15 + 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. -39 + 12x + -4x = -15 + 4x + -4x Combine like terms: 12x + -4x = 8x -39 + 8x = -15 + 4x + -4x Combine like terms: 4x + -4x = 0 -39 + 8x = -15 + 0 -39 + 8x = -15 Add '39' to each side of the equation. -39 + 39 + 8x = -15 + 39 Combine like terms: -39 + 39 = 0 0 + 8x = -15 + 39 8x = -15 + 39 Combine like terms: -15 + 39 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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