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Simplifying 1 + -3(x + 4) = 2(3x + 1) + -7 Reorder the terms: 1 + -3(4 + x) = 2(3x + 1) + -7 1 + (4 * -3 + x * -3) = 2(3x + 1) + -7 1 + (-12 + -3x) = 2(3x + 1) + -7 Combine like terms: 1 + -12 = -11 -11 + -3x = 2(3x + 1) + -7 Reorder the terms: -11 + -3x = 2(1 + 3x) + -7 -11 + -3x = (1 * 2 + 3x * 2) + -7 -11 + -3x = (2 + 6x) + -7 Reorder the terms: -11 + -3x = 2 + -7 + 6x Combine like terms: 2 + -7 = -5 -11 + -3x = -5 + 6x Solving -11 + -3x = -5 + 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. -11 + -3x + -6x = -5 + 6x + -6x Combine like terms: -3x + -6x = -9x -11 + -9x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 -11 + -9x = -5 + 0 -11 + -9x = -5 Add '11' to each side of the equation. -11 + 11 + -9x = -5 + 11 Combine like terms: -11 + 11 = 0 0 + -9x = -5 + 11 -9x = -5 + 11 Combine like terms: -5 + 11 = 6 -9x = 6 Divide each side by '-9'. x = -0.6666666667 Simplifying x = -0.6666666667
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