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Simplifying 4(5x + -4) + 2(14 + -2x) + -5(3x + 5) = -19 Reorder the terms: 4(-4 + 5x) + 2(14 + -2x) + -5(3x + 5) = -19 (-4 * 4 + 5x * 4) + 2(14 + -2x) + -5(3x + 5) = -19 (-16 + 20x) + 2(14 + -2x) + -5(3x + 5) = -19 -16 + 20x + (14 * 2 + -2x * 2) + -5(3x + 5) = -19 -16 + 20x + (28 + -4x) + -5(3x + 5) = -19 Reorder the terms: -16 + 20x + 28 + -4x + -5(5 + 3x) = -19 -16 + 20x + 28 + -4x + (5 * -5 + 3x * -5) = -19 -16 + 20x + 28 + -4x + (-25 + -15x) = -19 Reorder the terms: -16 + 28 + -25 + 20x + -4x + -15x = -19 Combine like terms: -16 + 28 = 12 12 + -25 + 20x + -4x + -15x = -19 Combine like terms: 12 + -25 = -13 -13 + 20x + -4x + -15x = -19 Combine like terms: 20x + -4x = 16x -13 + 16x + -15x = -19 Combine like terms: 16x + -15x = 1x -13 + 1x = -19 Solving -13 + 1x = -19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 1x = -19 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = -19 + 13 1x = -19 + 13 Combine like terms: -19 + 13 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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