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Simplifying 7(4x + -5) + 3(14 + -5x) + -4(3x + 3) = -1 Reorder the terms: 7(-5 + 4x) + 3(14 + -5x) + -4(3x + 3) = -1 (-5 * 7 + 4x * 7) + 3(14 + -5x) + -4(3x + 3) = -1 (-35 + 28x) + 3(14 + -5x) + -4(3x + 3) = -1 -35 + 28x + (14 * 3 + -5x * 3) + -4(3x + 3) = -1 -35 + 28x + (42 + -15x) + -4(3x + 3) = -1 Reorder the terms: -35 + 28x + 42 + -15x + -4(3 + 3x) = -1 -35 + 28x + 42 + -15x + (3 * -4 + 3x * -4) = -1 -35 + 28x + 42 + -15x + (-12 + -12x) = -1 Reorder the terms: -35 + 42 + -12 + 28x + -15x + -12x = -1 Combine like terms: -35 + 42 = 7 7 + -12 + 28x + -15x + -12x = -1 Combine like terms: 7 + -12 = -5 -5 + 28x + -15x + -12x = -1 Combine like terms: 28x + -15x = 13x -5 + 13x + -12x = -1 Combine like terms: 13x + -12x = 1x -5 + 1x = -1 Solving -5 + 1x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 1x = -1 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = -1 + 5 1x = -1 + 5 Combine like terms: -1 + 5 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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