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