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Simplifying -8(6 + -3x) + -11x = 12x + -53 (6 * -8 + -3x * -8) + -11x = 12x + -53 (-48 + 24x) + -11x = 12x + -53 Combine like terms: 24x + -11x = 13x -48 + 13x = 12x + -53 Reorder the terms: -48 + 13x = -53 + 12x Solving -48 + 13x = -53 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -48 + 13x + -12x = -53 + 12x + -12x Combine like terms: 13x + -12x = 1x -48 + 1x = -53 + 12x + -12x Combine like terms: 12x + -12x = 0 -48 + 1x = -53 + 0 -48 + 1x = -53 Add '48' to each side of the equation. -48 + 48 + 1x = -53 + 48 Combine like terms: -48 + 48 = 0 0 + 1x = -53 + 48 1x = -53 + 48 Combine like terms: -53 + 48 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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