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Simplifying 6x + -1(2x + -7) + 12 = -5x + -36 Reorder the terms: 6x + -1(-7 + 2x) + 12 = -5x + -36 6x + (-7 * -1 + 2x * -1) + 12 = -5x + -36 6x + (7 + -2x) + 12 = -5x + -36 Reorder the terms: 7 + 12 + 6x + -2x = -5x + -36 Combine like terms: 7 + 12 = 19 19 + 6x + -2x = -5x + -36 Combine like terms: 6x + -2x = 4x 19 + 4x = -5x + -36 Reorder the terms: 19 + 4x = -36 + -5x Solving 19 + 4x = -36 + -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. 19 + 4x + 5x = -36 + -5x + 5x Combine like terms: 4x + 5x = 9x 19 + 9x = -36 + -5x + 5x Combine like terms: -5x + 5x = 0 19 + 9x = -36 + 0 19 + 9x = -36 Add '-19' to each side of the equation. 19 + -19 + 9x = -36 + -19 Combine like terms: 19 + -19 = 0 0 + 9x = -36 + -19 9x = -36 + -19 Combine like terms: -36 + -19 = -55 9x = -55 Divide each side by '9'. x = -6.111111111 Simplifying x = -6.111111111
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