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Simplifying 5(3x + -7) = 6 + -1(-4x + 12) Reorder the terms: 5(-7 + 3x) = 6 + -1(-4x + 12) (-7 * 5 + 3x * 5) = 6 + -1(-4x + 12) (-35 + 15x) = 6 + -1(-4x + 12) Reorder the terms: -35 + 15x = 6 + -1(12 + -4x) -35 + 15x = 6 + (12 * -1 + -4x * -1) -35 + 15x = 6 + (-12 + 4x) Combine like terms: 6 + -12 = -6 -35 + 15x = -6 + 4x Solving -35 + 15x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -35 + 15x + -4x = -6 + 4x + -4x Combine like terms: 15x + -4x = 11x -35 + 11x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -35 + 11x = -6 + 0 -35 + 11x = -6 Add '35' to each side of the equation. -35 + 35 + 11x = -6 + 35 Combine like terms: -35 + 35 = 0 0 + 11x = -6 + 35 11x = -6 + 35 Combine like terms: -6 + 35 = 29 11x = 29 Divide each side by '11'. x = 2.636363636 Simplifying x = 2.636363636
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