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Simplifying 4(x + -6) + -3(5x + 1) = x + -27 Reorder the terms: 4(-6 + x) + -3(5x + 1) = x + -27 (-6 * 4 + x * 4) + -3(5x + 1) = x + -27 (-24 + 4x) + -3(5x + 1) = x + -27 Reorder the terms: -24 + 4x + -3(1 + 5x) = x + -27 -24 + 4x + (1 * -3 + 5x * -3) = x + -27 -24 + 4x + (-3 + -15x) = x + -27 Reorder the terms: -24 + -3 + 4x + -15x = x + -27 Combine like terms: -24 + -3 = -27 -27 + 4x + -15x = x + -27 Combine like terms: 4x + -15x = -11x -27 + -11x = x + -27 Reorder the terms: -27 + -11x = -27 + x Add '27' to each side of the equation. -27 + 27 + -11x = -27 + 27 + x Combine like terms: -27 + 27 = 0 0 + -11x = -27 + 27 + x -11x = -27 + 27 + x Combine like terms: -27 + 27 = 0 -11x = 0 + x -11x = x Solving -11x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -11x + -1x = x + -1x Combine like terms: -11x + -1x = -12x -12x = x + -1x Combine like terms: x + -1x = 0 -12x = 0 Divide each side by '-12'. x = 0 Simplifying x = 0
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