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Simplifying 2(4x + -3) + -3(3x + -1) + -4(x + 1) = 5 Reorder the terms: 2(-3 + 4x) + -3(3x + -1) + -4(x + 1) = 5 (-3 * 2 + 4x * 2) + -3(3x + -1) + -4(x + 1) = 5 (-6 + 8x) + -3(3x + -1) + -4(x + 1) = 5 Reorder the terms: -6 + 8x + -3(-1 + 3x) + -4(x + 1) = 5 -6 + 8x + (-1 * -3 + 3x * -3) + -4(x + 1) = 5 -6 + 8x + (3 + -9x) + -4(x + 1) = 5 Reorder the terms: -6 + 8x + 3 + -9x + -4(1 + x) = 5 -6 + 8x + 3 + -9x + (1 * -4 + x * -4) = 5 -6 + 8x + 3 + -9x + (-4 + -4x) = 5 Reorder the terms: -6 + 3 + -4 + 8x + -9x + -4x = 5 Combine like terms: -6 + 3 = -3 -3 + -4 + 8x + -9x + -4x = 5 Combine like terms: -3 + -4 = -7 -7 + 8x + -9x + -4x = 5 Combine like terms: 8x + -9x = -1x -7 + -1x + -4x = 5 Combine like terms: -1x + -4x = -5x -7 + -5x = 5 Solving -7 + -5x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -5x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = 5 + 7 -5x = 5 + 7 Combine like terms: 5 + 7 = 12 -5x = 12 Divide each side by '-5'. x = -2.4 Simplifying x = -2.4
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