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Simplifying 6(3x + -8) + -5 = 6(x + -4) + 43 Reorder the terms: 6(-8 + 3x) + -5 = 6(x + -4) + 43 (-8 * 6 + 3x * 6) + -5 = 6(x + -4) + 43 (-48 + 18x) + -5 = 6(x + -4) + 43 Reorder the terms: -48 + -5 + 18x = 6(x + -4) + 43 Combine like terms: -48 + -5 = -53 -53 + 18x = 6(x + -4) + 43 Reorder the terms: -53 + 18x = 6(-4 + x) + 43 -53 + 18x = (-4 * 6 + x * 6) + 43 -53 + 18x = (-24 + 6x) + 43 Reorder the terms: -53 + 18x = -24 + 43 + 6x Combine like terms: -24 + 43 = 19 -53 + 18x = 19 + 6x Solving -53 + 18x = 19 + 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 + 18x + -6x = 19 + 6x + -6x Combine like terms: 18x + -6x = 12x -53 + 12x = 19 + 6x + -6x Combine like terms: 6x + -6x = 0 -53 + 12x = 19 + 0 -53 + 12x = 19 Add '53' to each side of the equation. -53 + 53 + 12x = 19 + 53 Combine like terms: -53 + 53 = 0 0 + 12x = 19 + 53 12x = 19 + 53 Combine like terms: 19 + 53 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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