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Simplifying 6x + -1(7 + 2x) = 4 + 3 + -1(x + 7) 6x + (7 * -1 + 2x * -1) = 4 + 3 + -1(x + 7) 6x + (-7 + -2x) = 4 + 3 + -1(x + 7) Reorder the terms: -7 + 6x + -2x = 4 + 3 + -1(x + 7) Combine like terms: 6x + -2x = 4x -7 + 4x = 4 + 3 + -1(x + 7) Reorder the terms: -7 + 4x = 4 + 3 + -1(7 + x) -7 + 4x = 4 + 3 + (7 * -1 + x * -1) -7 + 4x = 4 + 3 + (-7 + -1x) Combine like terms: 4 + 3 = 7 -7 + 4x = 7 + -7 + -1x Combine like terms: 7 + -7 = 0 -7 + 4x = 0 + -1x -7 + 4x = -1x Solving -7 + 4x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -7 + 4x + x = -1x + x Combine like terms: 4x + x = 5x -7 + 5x = -1x + x Combine like terms: -1x + x = 0 -7 + 5x = 0 Add '7' to each side of the equation. -7 + 7 + 5x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 0 + 7 5x = 0 + 7 Combine like terms: 0 + 7 = 7 5x = 7 Divide each side by '5'. x = 1.4 Simplifying x = 1.4
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