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Simplifying -2x + -19(x + 3) = -5(4x + 3) Reorder the terms: -2x + -19(3 + x) = -5(4x + 3) -2x + (3 * -19 + x * -19) = -5(4x + 3) -2x + (-57 + -19x) = -5(4x + 3) Reorder the terms: -57 + -2x + -19x = -5(4x + 3) Combine like terms: -2x + -19x = -21x -57 + -21x = -5(4x + 3) Reorder the terms: -57 + -21x = -5(3 + 4x) -57 + -21x = (3 * -5 + 4x * -5) -57 + -21x = (-15 + -20x) Solving -57 + -21x = -15 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -57 + -21x + 20x = -15 + -20x + 20x Combine like terms: -21x + 20x = -1x -57 + -1x = -15 + -20x + 20x Combine like terms: -20x + 20x = 0 -57 + -1x = -15 + 0 -57 + -1x = -15 Add '57' to each side of the equation. -57 + 57 + -1x = -15 + 57 Combine like terms: -57 + 57 = 0 0 + -1x = -15 + 57 -1x = -15 + 57 Combine like terms: -15 + 57 = 42 -1x = 42 Divide each side by '-1'. x = -42 Simplifying x = -42
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