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Simplifying 7(3x + -7) + -3 = 7(x + -6) + 4 Reorder the terms: 7(-7 + 3x) + -3 = 7(x + -6) + 4 (-7 * 7 + 3x * 7) + -3 = 7(x + -6) + 4 (-49 + 21x) + -3 = 7(x + -6) + 4 Reorder the terms: -49 + -3 + 21x = 7(x + -6) + 4 Combine like terms: -49 + -3 = -52 -52 + 21x = 7(x + -6) + 4 Reorder the terms: -52 + 21x = 7(-6 + x) + 4 -52 + 21x = (-6 * 7 + x * 7) + 4 -52 + 21x = (-42 + 7x) + 4 Reorder the terms: -52 + 21x = -42 + 4 + 7x Combine like terms: -42 + 4 = -38 -52 + 21x = -38 + 7x Solving -52 + 21x = -38 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -52 + 21x + -7x = -38 + 7x + -7x Combine like terms: 21x + -7x = 14x -52 + 14x = -38 + 7x + -7x Combine like terms: 7x + -7x = 0 -52 + 14x = -38 + 0 -52 + 14x = -38 Add '52' to each side of the equation. -52 + 52 + 14x = -38 + 52 Combine like terms: -52 + 52 = 0 0 + 14x = -38 + 52 14x = -38 + 52 Combine like terms: -38 + 52 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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