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Simplifying 3x + -4 = 3(2x + -1) + 7 Reorder the terms: -4 + 3x = 3(2x + -1) + 7 Reorder the terms: -4 + 3x = 3(-1 + 2x) + 7 -4 + 3x = (-1 * 3 + 2x * 3) + 7 -4 + 3x = (-3 + 6x) + 7 Reorder the terms: -4 + 3x = -3 + 7 + 6x Combine like terms: -3 + 7 = 4 -4 + 3x = 4 + 6x Solving -4 + 3x = 4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 3x + -6x = 4 + 6x + -6x Combine like terms: 3x + -6x = -3x -4 + -3x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -3x = 4 + 0 -4 + -3x = 4 Add '4' to each side of the equation. -4 + 4 + -3x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 4 + 4 -3x = 4 + 4 Combine like terms: 4 + 4 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667
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