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Simplifying 6(x + -8) + -3x = 5(x + -4) + -2 Reorder the terms: 6(-8 + x) + -3x = 5(x + -4) + -2 (-8 * 6 + x * 6) + -3x = 5(x + -4) + -2 (-48 + 6x) + -3x = 5(x + -4) + -2 Combine like terms: 6x + -3x = 3x -48 + 3x = 5(x + -4) + -2 Reorder the terms: -48 + 3x = 5(-4 + x) + -2 -48 + 3x = (-4 * 5 + x * 5) + -2 -48 + 3x = (-20 + 5x) + -2 Reorder the terms: -48 + 3x = -20 + -2 + 5x Combine like terms: -20 + -2 = -22 -48 + 3x = -22 + 5x Solving -48 + 3x = -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. -48 + 3x + -5x = -22 + 5x + -5x Combine like terms: 3x + -5x = -2x -48 + -2x = -22 + 5x + -5x Combine like terms: 5x + -5x = 0 -48 + -2x = -22 + 0 -48 + -2x = -22 Add '48' to each side of the equation. -48 + 48 + -2x = -22 + 48 Combine like terms: -48 + 48 = 0 0 + -2x = -22 + 48 -2x = -22 + 48 Combine like terms: -22 + 48 = 26 -2x = 26 Divide each side by '-2'. x = -13 Simplifying x = -13
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