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Simplifying -3x + -1(x + 3) = -5(x + 3) + 19 Reorder the terms: -3x + -1(3 + x) = -5(x + 3) + 19 -3x + (3 * -1 + x * -1) = -5(x + 3) + 19 -3x + (-3 + -1x) = -5(x + 3) + 19 Reorder the terms: -3 + -3x + -1x = -5(x + 3) + 19 Combine like terms: -3x + -1x = -4x -3 + -4x = -5(x + 3) + 19 Reorder the terms: -3 + -4x = -5(3 + x) + 19 -3 + -4x = (3 * -5 + x * -5) + 19 -3 + -4x = (-15 + -5x) + 19 Reorder the terms: -3 + -4x = -15 + 19 + -5x Combine like terms: -15 + 19 = 4 -3 + -4x = 4 + -5x Solving -3 + -4x = 4 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -3 + -4x + 5x = 4 + -5x + 5x Combine like terms: -4x + 5x = 1x -3 + 1x = 4 + -5x + 5x Combine like terms: -5x + 5x = 0 -3 + 1x = 4 + 0 -3 + 1x = 4 Add '3' to each side of the equation. -3 + 3 + 1x = 4 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 4 + 3 1x = 4 + 3 Combine like terms: 4 + 3 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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