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Simplifying -2x + -3(3 + -4x) = 6(x + -5) + -23 -2x + (3 * -3 + -4x * -3) = 6(x + -5) + -23 -2x + (-9 + 12x) = 6(x + -5) + -23 Reorder the terms: -9 + -2x + 12x = 6(x + -5) + -23 Combine like terms: -2x + 12x = 10x -9 + 10x = 6(x + -5) + -23 Reorder the terms: -9 + 10x = 6(-5 + x) + -23 -9 + 10x = (-5 * 6 + x * 6) + -23 -9 + 10x = (-30 + 6x) + -23 Reorder the terms: -9 + 10x = -30 + -23 + 6x Combine like terms: -30 + -23 = -53 -9 + 10x = -53 + 6x Solving -9 + 10x = -53 + 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. -9 + 10x + -6x = -53 + 6x + -6x Combine like terms: 10x + -6x = 4x -9 + 4x = -53 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + 4x = -53 + 0 -9 + 4x = -53 Add '9' to each side of the equation. -9 + 9 + 4x = -53 + 9 Combine like terms: -9 + 9 = 0 0 + 4x = -53 + 9 4x = -53 + 9 Combine like terms: -53 + 9 = -44 4x = -44 Divide each side by '4'. x = -11 Simplifying x = -11
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