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Simplifying 6x + (3x + -7) = 4 + -1(4x + -3) Reorder the terms: 6x + (-7 + 3x) = 4 + -1(4x + -3) Remove parenthesis around (-7 + 3x) 6x + -7 + 3x = 4 + -1(4x + -3) Reorder the terms: -7 + 6x + 3x = 4 + -1(4x + -3) Combine like terms: 6x + 3x = 9x -7 + 9x = 4 + -1(4x + -3) Reorder the terms: -7 + 9x = 4 + -1(-3 + 4x) -7 + 9x = 4 + (-3 * -1 + 4x * -1) -7 + 9x = 4 + (3 + -4x) Combine like terms: 4 + 3 = 7 -7 + 9x = 7 + -4x Solving -7 + 9x = 7 + -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. -7 + 9x + 4x = 7 + -4x + 4x Combine like terms: 9x + 4x = 13x -7 + 13x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 -7 + 13x = 7 + 0 -7 + 13x = 7 Add '7' to each side of the equation. -7 + 7 + 13x = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 13x = 7 + 7 13x = 7 + 7 Combine like terms: 7 + 7 = 14 13x = 14 Divide each side by '13'. x = 1.076923077 Simplifying x = 1.076923077
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