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Simplifying x + -1(4x + 3) = 3(2x + -5) + -6 Reorder the terms: x + -1(3 + 4x) = 3(2x + -5) + -6 x + (3 * -1 + 4x * -1) = 3(2x + -5) + -6 x + (-3 + -4x) = 3(2x + -5) + -6 Reorder the terms: -3 + x + -4x = 3(2x + -5) + -6 Combine like terms: x + -4x = -3x -3 + -3x = 3(2x + -5) + -6 Reorder the terms: -3 + -3x = 3(-5 + 2x) + -6 -3 + -3x = (-5 * 3 + 2x * 3) + -6 -3 + -3x = (-15 + 6x) + -6 Reorder the terms: -3 + -3x = -15 + -6 + 6x Combine like terms: -15 + -6 = -21 -3 + -3x = -21 + 6x Solving -3 + -3x = -21 + 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. -3 + -3x + -6x = -21 + 6x + -6x Combine like terms: -3x + -6x = -9x -3 + -9x = -21 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -9x = -21 + 0 -3 + -9x = -21 Add '3' to each side of the equation. -3 + 3 + -9x = -21 + 3 Combine like terms: -3 + 3 = 0 0 + -9x = -21 + 3 -9x = -21 + 3 Combine like terms: -21 + 3 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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