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Simplifying 6(3x + -7) + -12 + -4x = 9x + -1(7x + 6) Reorder the terms: 6(-7 + 3x) + -12 + -4x = 9x + -1(7x + 6) (-7 * 6 + 3x * 6) + -12 + -4x = 9x + -1(7x + 6) (-42 + 18x) + -12 + -4x = 9x + -1(7x + 6) Reorder the terms: -42 + -12 + 18x + -4x = 9x + -1(7x + 6) Combine like terms: -42 + -12 = -54 -54 + 18x + -4x = 9x + -1(7x + 6) Combine like terms: 18x + -4x = 14x -54 + 14x = 9x + -1(7x + 6) Reorder the terms: -54 + 14x = 9x + -1(6 + 7x) -54 + 14x = 9x + (6 * -1 + 7x * -1) -54 + 14x = 9x + (-6 + -7x) Reorder the terms: -54 + 14x = -6 + 9x + -7x Combine like terms: 9x + -7x = 2x -54 + 14x = -6 + 2x Solving -54 + 14x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -54 + 14x + -2x = -6 + 2x + -2x Combine like terms: 14x + -2x = 12x -54 + 12x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -54 + 12x = -6 + 0 -54 + 12x = -6 Add '54' to each side of the equation. -54 + 54 + 12x = -6 + 54 Combine like terms: -54 + 54 = 0 0 + 12x = -6 + 54 12x = -6 + 54 Combine like terms: -6 + 54 = 48 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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