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Simplifying 3(x + -1) + -4 = -5(-3x + 2) + -6x Reorder the terms: 3(-1 + x) + -4 = -5(-3x + 2) + -6x (-1 * 3 + x * 3) + -4 = -5(-3x + 2) + -6x (-3 + 3x) + -4 = -5(-3x + 2) + -6x Reorder the terms: -3 + -4 + 3x = -5(-3x + 2) + -6x Combine like terms: -3 + -4 = -7 -7 + 3x = -5(-3x + 2) + -6x Reorder the terms: -7 + 3x = -5(2 + -3x) + -6x -7 + 3x = (2 * -5 + -3x * -5) + -6x -7 + 3x = (-10 + 15x) + -6x Combine like terms: 15x + -6x = 9x -7 + 3x = -10 + 9x Solving -7 + 3x = -10 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -7 + 3x + -9x = -10 + 9x + -9x Combine like terms: 3x + -9x = -6x -7 + -6x = -10 + 9x + -9x Combine like terms: 9x + -9x = 0 -7 + -6x = -10 + 0 -7 + -6x = -10 Add '7' to each side of the equation. -7 + 7 + -6x = -10 + 7 Combine like terms: -7 + 7 = 0 0 + -6x = -10 + 7 -6x = -10 + 7 Combine like terms: -10 + 7 = -3 -6x = -3 Divide each side by '-6'. x = 0.5 Simplifying x = 0.5
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