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Simplifying 6(x + -8) + -3 = 5(x + -4) + -2 Reorder the terms: 6(-8 + x) + -3 = 5(x + -4) + -2 (-8 * 6 + x * 6) + -3 = 5(x + -4) + -2 (-48 + 6x) + -3 = 5(x + -4) + -2 Reorder the terms: -48 + -3 + 6x = 5(x + -4) + -2 Combine like terms: -48 + -3 = -51 -51 + 6x = 5(x + -4) + -2 Reorder the terms: -51 + 6x = 5(-4 + x) + -2 -51 + 6x = (-4 * 5 + x * 5) + -2 -51 + 6x = (-20 + 5x) + -2 Reorder the terms: -51 + 6x = -20 + -2 + 5x Combine like terms: -20 + -2 = -22 -51 + 6x = -22 + 5x Solving -51 + 6x = -22 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -51 + 6x + -5x = -22 + 5x + -5x Combine like terms: 6x + -5x = 1x -51 + 1x = -22 + 5x + -5x Combine like terms: 5x + -5x = 0 -51 + 1x = -22 + 0 -51 + 1x = -22 Add '51' to each side of the equation. -51 + 51 + 1x = -22 + 51 Combine like terms: -51 + 51 = 0 0 + 1x = -22 + 51 1x = -22 + 51 Combine like terms: -22 + 51 = 29 1x = 29 Divide each side by '1'. x = 29 Simplifying x = 29
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