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Simplifying 3x + -5(x + 3) = 19 + -4x Reorder the terms: 3x + -5(3 + x) = 19 + -4x 3x + (3 * -5 + x * -5) = 19 + -4x 3x + (-15 + -5x) = 19 + -4x Reorder the terms: -15 + 3x + -5x = 19 + -4x Combine like terms: 3x + -5x = -2x -15 + -2x = 19 + -4x Solving -15 + -2x = 19 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -15 + -2x + 4x = 19 + -4x + 4x Combine like terms: -2x + 4x = 2x -15 + 2x = 19 + -4x + 4x Combine like terms: -4x + 4x = 0 -15 + 2x = 19 + 0 -15 + 2x = 19 Add '15' to each side of the equation. -15 + 15 + 2x = 19 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = 19 + 15 2x = 19 + 15 Combine like terms: 19 + 15 = 34 2x = 34 Divide each side by '2'. x = 17 Simplifying x = 17
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