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Simplifying 2(x + -7) + 6x = -2x + -7(x + -1) Reorder the terms: 2(-7 + x) + 6x = -2x + -7(x + -1) (-7 * 2 + x * 2) + 6x = -2x + -7(x + -1) (-14 + 2x) + 6x = -2x + -7(x + -1) Combine like terms: 2x + 6x = 8x -14 + 8x = -2x + -7(x + -1) Reorder the terms: -14 + 8x = -2x + -7(-1 + x) -14 + 8x = -2x + (-1 * -7 + x * -7) -14 + 8x = -2x + (7 + -7x) Reorder the terms: -14 + 8x = 7 + -2x + -7x Combine like terms: -2x + -7x = -9x -14 + 8x = 7 + -9x Solving -14 + 8x = 7 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -14 + 8x + 9x = 7 + -9x + 9x Combine like terms: 8x + 9x = 17x -14 + 17x = 7 + -9x + 9x Combine like terms: -9x + 9x = 0 -14 + 17x = 7 + 0 -14 + 17x = 7 Add '14' to each side of the equation. -14 + 14 + 17x = 7 + 14 Combine like terms: -14 + 14 = 0 0 + 17x = 7 + 14 17x = 7 + 14 Combine like terms: 7 + 14 = 21 17x = 21 Divide each side by '17'. x = 1.235294118 Simplifying x = 1.235294118
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