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Simplifying 6(x + -8) + -3x = 5(x + -1) + -1 Reorder the terms: 6(-8 + x) + -3x = 5(x + -1) + -1 (-8 * 6 + x * 6) + -3x = 5(x + -1) + -1 (-48 + 6x) + -3x = 5(x + -1) + -1 Combine like terms: 6x + -3x = 3x -48 + 3x = 5(x + -1) + -1 Reorder the terms: -48 + 3x = 5(-1 + x) + -1 -48 + 3x = (-1 * 5 + x * 5) + -1 -48 + 3x = (-5 + 5x) + -1 Reorder the terms: -48 + 3x = -5 + -1 + 5x Combine like terms: -5 + -1 = -6 -48 + 3x = -6 + 5x Solving -48 + 3x = -6 + 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. -48 + 3x + -5x = -6 + 5x + -5x Combine like terms: 3x + -5x = -2x -48 + -2x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -48 + -2x = -6 + 0 -48 + -2x = -6 Add '48' to each side of the equation. -48 + 48 + -2x = -6 + 48 Combine like terms: -48 + 48 = 0 0 + -2x = -6 + 48 -2x = -6 + 48 Combine like terms: -6 + 48 = 42 -2x = 42 Divide each side by '-2'. x = -21 Simplifying x = -21
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