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Simplifying 2(3x + -4) + -7 = 3x + 1 + 1 Reorder the terms: 2(-4 + 3x) + -7 = 3x + 1 + 1 (-4 * 2 + 3x * 2) + -7 = 3x + 1 + 1 (-8 + 6x) + -7 = 3x + 1 + 1 Reorder the terms: -8 + -7 + 6x = 3x + 1 + 1 Combine like terms: -8 + -7 = -15 -15 + 6x = 3x + 1 + 1 Reorder the terms: -15 + 6x = 1 + 1 + 3x Combine like terms: 1 + 1 = 2 -15 + 6x = 2 + 3x Solving -15 + 6x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -15 + 6x + -3x = 2 + 3x + -3x Combine like terms: 6x + -3x = 3x -15 + 3x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + 3x = 2 + 0 -15 + 3x = 2 Add '15' to each side of the equation. -15 + 15 + 3x = 2 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = 2 + 15 3x = 2 + 15 Combine like terms: 2 + 15 = 17 3x = 17 Divide each side by '3'. x = 5.666666667 Simplifying x = 5.666666667
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