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Simplifying 3(x + -4) + 2x + -1 = -6(x + -2) + -1(-7) Reorder the terms: 3(-4 + x) + 2x + -1 = -6(x + -2) + -1(-7) (-4 * 3 + x * 3) + 2x + -1 = -6(x + -2) + -1(-7) (-12 + 3x) + 2x + -1 = -6(x + -2) + -1(-7) Reorder the terms: -12 + -1 + 3x + 2x = -6(x + -2) + -1(-7) Combine like terms: -12 + -1 = -13 -13 + 3x + 2x = -6(x + -2) + -1(-7) Combine like terms: 3x + 2x = 5x -13 + 5x = -6(x + -2) + -1(-7) Reorder the terms: -13 + 5x = -6(-2 + x) + -1(-7) -13 + 5x = (-2 * -6 + x * -6) + -1(-7) -13 + 5x = (12 + -6x) + -1(-7) Multiply -1 * -7 -13 + 5x = 12 + -6x + 7 Reorder the terms: -13 + 5x = 12 + 7 + -6x Combine like terms: 12 + 7 = 19 -13 + 5x = 19 + -6x Solving -13 + 5x = 19 + -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. -13 + 5x + 6x = 19 + -6x + 6x Combine like terms: 5x + 6x = 11x -13 + 11x = 19 + -6x + 6x Combine like terms: -6x + 6x = 0 -13 + 11x = 19 + 0 -13 + 11x = 19 Add '13' to each side of the equation. -13 + 13 + 11x = 19 + 13 Combine like terms: -13 + 13 = 0 0 + 11x = 19 + 13 11x = 19 + 13 Combine like terms: 19 + 13 = 32 11x = 32 Divide each side by '11'. x = 2.909090909 Simplifying x = 2.909090909
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