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Simplifying 3x + -7 = 3(4x + 1) Reorder the terms: -7 + 3x = 3(4x + 1) Reorder the terms: -7 + 3x = 3(1 + 4x) -7 + 3x = (1 * 3 + 4x * 3) -7 + 3x = (3 + 12x) Solving -7 + 3x = 3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -7 + 3x + -12x = 3 + 12x + -12x Combine like terms: 3x + -12x = -9x -7 + -9x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 -7 + -9x = 3 + 0 -7 + -9x = 3 Add '7' to each side of the equation. -7 + 7 + -9x = 3 + 7 Combine like terms: -7 + 7 = 0 0 + -9x = 3 + 7 -9x = 3 + 7 Combine like terms: 3 + 7 = 10 -9x = 10 Divide each side by '-9'. x = -1.111111111 Simplifying x = -1.111111111
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