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Simplifying 6(2x + -8) + -5 = 6(x + -5) + 1 Reorder the terms: 6(-8 + 2x) + -5 = 6(x + -5) + 1 (-8 * 6 + 2x * 6) + -5 = 6(x + -5) + 1 (-48 + 12x) + -5 = 6(x + -5) + 1 Reorder the terms: -48 + -5 + 12x = 6(x + -5) + 1 Combine like terms: -48 + -5 = -53 -53 + 12x = 6(x + -5) + 1 Reorder the terms: -53 + 12x = 6(-5 + x) + 1 -53 + 12x = (-5 * 6 + x * 6) + 1 -53 + 12x = (-30 + 6x) + 1 Reorder the terms: -53 + 12x = -30 + 1 + 6x Combine like terms: -30 + 1 = -29 -53 + 12x = -29 + 6x Solving -53 + 12x = -29 + 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. -53 + 12x + -6x = -29 + 6x + -6x Combine like terms: 12x + -6x = 6x -53 + 6x = -29 + 6x + -6x Combine like terms: 6x + -6x = 0 -53 + 6x = -29 + 0 -53 + 6x = -29 Add '53' to each side of the equation. -53 + 53 + 6x = -29 + 53 Combine like terms: -53 + 53 = 0 0 + 6x = -29 + 53 6x = -29 + 53 Combine like terms: -29 + 53 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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