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Simplifying 4(5x + -4) + 2(19 + -2x) + -5(3x + 5) = -13 Reorder the terms: 4(-4 + 5x) + 2(19 + -2x) + -5(3x + 5) = -13 (-4 * 4 + 5x * 4) + 2(19 + -2x) + -5(3x + 5) = -13 (-16 + 20x) + 2(19 + -2x) + -5(3x + 5) = -13 -16 + 20x + (19 * 2 + -2x * 2) + -5(3x + 5) = -13 -16 + 20x + (38 + -4x) + -5(3x + 5) = -13 Reorder the terms: -16 + 20x + 38 + -4x + -5(5 + 3x) = -13 -16 + 20x + 38 + -4x + (5 * -5 + 3x * -5) = -13 -16 + 20x + 38 + -4x + (-25 + -15x) = -13 Reorder the terms: -16 + 38 + -25 + 20x + -4x + -15x = -13 Combine like terms: -16 + 38 = 22 22 + -25 + 20x + -4x + -15x = -13 Combine like terms: 22 + -25 = -3 -3 + 20x + -4x + -15x = -13 Combine like terms: 20x + -4x = 16x -3 + 16x + -15x = -13 Combine like terms: 16x + -15x = 1x -3 + 1x = -13 Solving -3 + 1x = -13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 1x = -13 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = -13 + 3 1x = -13 + 3 Combine like terms: -13 + 3 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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