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Simplifying 6x + -3(5x + 2) = 4(1 + -1x) Reorder the terms: 6x + -3(2 + 5x) = 4(1 + -1x) 6x + (2 * -3 + 5x * -3) = 4(1 + -1x) 6x + (-6 + -15x) = 4(1 + -1x) Reorder the terms: -6 + 6x + -15x = 4(1 + -1x) Combine like terms: 6x + -15x = -9x -6 + -9x = 4(1 + -1x) -6 + -9x = (1 * 4 + -1x * 4) -6 + -9x = (4 + -4x) Solving -6 + -9x = 4 + -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. -6 + -9x + 4x = 4 + -4x + 4x Combine like terms: -9x + 4x = -5x -6 + -5x = 4 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + -5x = 4 + 0 -6 + -5x = 4 Add '6' to each side of the equation. -6 + 6 + -5x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 4 + 6 -5x = 4 + 6 Combine like terms: 4 + 6 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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