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Simplifying 3x + -36 = 5x + -1(7x + -19) Reorder the terms: -36 + 3x = 5x + -1(7x + -19) Reorder the terms: -36 + 3x = 5x + -1(-19 + 7x) -36 + 3x = 5x + (-19 * -1 + 7x * -1) -36 + 3x = 5x + (19 + -7x) Reorder the terms: -36 + 3x = 19 + 5x + -7x Combine like terms: 5x + -7x = -2x -36 + 3x = 19 + -2x Solving -36 + 3x = 19 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -36 + 3x + 2x = 19 + -2x + 2x Combine like terms: 3x + 2x = 5x -36 + 5x = 19 + -2x + 2x Combine like terms: -2x + 2x = 0 -36 + 5x = 19 + 0 -36 + 5x = 19 Add '36' to each side of the equation. -36 + 36 + 5x = 19 + 36 Combine like terms: -36 + 36 = 0 0 + 5x = 19 + 36 5x = 19 + 36 Combine like terms: 19 + 36 = 55 5x = 55 Divide each side by '5'. x = 11 Simplifying x = 11
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