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Simplifying -19x + -6(6 + -5x) = 6(x + -4) + -7 -19x + (6 * -6 + -5x * -6) = 6(x + -4) + -7 -19x + (-36 + 30x) = 6(x + -4) + -7 Reorder the terms: -36 + -19x + 30x = 6(x + -4) + -7 Combine like terms: -19x + 30x = 11x -36 + 11x = 6(x + -4) + -7 Reorder the terms: -36 + 11x = 6(-4 + x) + -7 -36 + 11x = (-4 * 6 + x * 6) + -7 -36 + 11x = (-24 + 6x) + -7 Reorder the terms: -36 + 11x = -24 + -7 + 6x Combine like terms: -24 + -7 = -31 -36 + 11x = -31 + 6x Solving -36 + 11x = -31 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -36 + 11x + -6x = -31 + 6x + -6x Combine like terms: 11x + -6x = 5x -36 + 5x = -31 + 6x + -6x Combine like terms: 6x + -6x = 0 -36 + 5x = -31 + 0 -36 + 5x = -31 Add '36' to each side of the equation. -36 + 36 + 5x = -31 + 36 Combine like terms: -36 + 36 = 0 0 + 5x = -31 + 36 5x = -31 + 36 Combine like terms: -31 + 36 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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