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Simplifying -3(-4x + 7) + 3(x + -2) = 5x + -8 Reorder the terms: -3(7 + -4x) + 3(x + -2) = 5x + -8 (7 * -3 + -4x * -3) + 3(x + -2) = 5x + -8 (-21 + 12x) + 3(x + -2) = 5x + -8 Reorder the terms: -21 + 12x + 3(-2 + x) = 5x + -8 -21 + 12x + (-2 * 3 + x * 3) = 5x + -8 -21 + 12x + (-6 + 3x) = 5x + -8 Reorder the terms: -21 + -6 + 12x + 3x = 5x + -8 Combine like terms: -21 + -6 = -27 -27 + 12x + 3x = 5x + -8 Combine like terms: 12x + 3x = 15x -27 + 15x = 5x + -8 Reorder the terms: -27 + 15x = -8 + 5x Solving -27 + 15x = -8 + 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. -27 + 15x + -5x = -8 + 5x + -5x Combine like terms: 15x + -5x = 10x -27 + 10x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 -27 + 10x = -8 + 0 -27 + 10x = -8 Add '27' to each side of the equation. -27 + 27 + 10x = -8 + 27 Combine like terms: -27 + 27 = 0 0 + 10x = -8 + 27 10x = -8 + 27 Combine like terms: -8 + 27 = 19 10x = 19 Divide each side by '10'. x = 1.9 Simplifying x = 1.9
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