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