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Simplifying 6(x + -7) + -3y = 5(x + -3) + -1 Reorder the terms: 6(-7 + x) + -3y = 5(x + -3) + -1 (-7 * 6 + x * 6) + -3y = 5(x + -3) + -1 (-42 + 6x) + -3y = 5(x + -3) + -1 Reorder the terms: -42 + 6x + -3y = 5(-3 + x) + -1 -42 + 6x + -3y = (-3 * 5 + x * 5) + -1 -42 + 6x + -3y = (-15 + 5x) + -1 Reorder the terms: -42 + 6x + -3y = -15 + -1 + 5x Combine like terms: -15 + -1 = -16 -42 + 6x + -3y = -16 + 5x Solving -42 + 6x + -3y = -16 + 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. -42 + 6x + -5x + -3y = -16 + 5x + -5x Combine like terms: 6x + -5x = 1x -42 + 1x + -3y = -16 + 5x + -5x Combine like terms: 5x + -5x = 0 -42 + 1x + -3y = -16 + 0 -42 + 1x + -3y = -16 Add '42' to each side of the equation. -42 + 1x + 42 + -3y = -16 + 42 Reorder the terms: -42 + 42 + 1x + -3y = -16 + 42 Combine like terms: -42 + 42 = 0 0 + 1x + -3y = -16 + 42 1x + -3y = -16 + 42 Combine like terms: -16 + 42 = 26 1x + -3y = 26 Add '3y' to each side of the equation. 1x + -3y + 3y = 26 + 3y Combine like terms: -3y + 3y = 0 1x + 0 = 26 + 3y 1x = 26 + 3y Divide each side by '1'. x = 26 + 3y Simplifying x = 26 + 3y
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