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Simplifying 4(5x + -5) + 19 = -13 + 2(3x + -8) Reorder the terms: 4(-5 + 5x) + 19 = -13 + 2(3x + -8) (-5 * 4 + 5x * 4) + 19 = -13 + 2(3x + -8) (-20 + 20x) + 19 = -13 + 2(3x + -8) Reorder the terms: -20 + 19 + 20x = -13 + 2(3x + -8) Combine like terms: -20 + 19 = -1 -1 + 20x = -13 + 2(3x + -8) Reorder the terms: -1 + 20x = -13 + 2(-8 + 3x) -1 + 20x = -13 + (-8 * 2 + 3x * 2) -1 + 20x = -13 + (-16 + 6x) Combine like terms: -13 + -16 = -29 -1 + 20x = -29 + 6x Solving -1 + 20x = -29 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -1 + 20x + -6x = -29 + 6x + -6x Combine like terms: 20x + -6x = 14x -1 + 14x = -29 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + 14x = -29 + 0 -1 + 14x = -29 Add '1' to each side of the equation. -1 + 1 + 14x = -29 + 1 Combine like terms: -1 + 1 = 0 0 + 14x = -29 + 1 14x = -29 + 1 Combine like terms: -29 + 1 = -28 14x = -28 Divide each side by '14'. x = -2 Simplifying x = -2
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