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Simplifying 21x + -36 + -1(19x + -61) = 23x + -1(19x + -11) Reorder the terms: 21x + -36 + -1(-61 + 19x) = 23x + -1(19x + -11) 21x + -36 + (-61 * -1 + 19x * -1) = 23x + -1(19x + -11) 21x + -36 + (61 + -19x) = 23x + -1(19x + -11) Reorder the terms: -36 + 61 + 21x + -19x = 23x + -1(19x + -11) Combine like terms: -36 + 61 = 25 25 + 21x + -19x = 23x + -1(19x + -11) Combine like terms: 21x + -19x = 2x 25 + 2x = 23x + -1(19x + -11) Reorder the terms: 25 + 2x = 23x + -1(-11 + 19x) 25 + 2x = 23x + (-11 * -1 + 19x * -1) 25 + 2x = 23x + (11 + -19x) Reorder the terms: 25 + 2x = 11 + 23x + -19x Combine like terms: 23x + -19x = 4x 25 + 2x = 11 + 4x Solving 25 + 2x = 11 + 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. 25 + 2x + -4x = 11 + 4x + -4x Combine like terms: 2x + -4x = -2x 25 + -2x = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 25 + -2x = 11 + 0 25 + -2x = 11 Add '-25' to each side of the equation. 25 + -25 + -2x = 11 + -25 Combine like terms: 25 + -25 = 0 0 + -2x = 11 + -25 -2x = 11 + -25 Combine like terms: 11 + -25 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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