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Simplifying 6(x + -2) + -7 = 30 + -1(x + -8) Reorder the terms: 6(-2 + x) + -7 = 30 + -1(x + -8) (-2 * 6 + x * 6) + -7 = 30 + -1(x + -8) (-12 + 6x) + -7 = 30 + -1(x + -8) Reorder the terms: -12 + -7 + 6x = 30 + -1(x + -8) Combine like terms: -12 + -7 = -19 -19 + 6x = 30 + -1(x + -8) Reorder the terms: -19 + 6x = 30 + -1(-8 + x) -19 + 6x = 30 + (-8 * -1 + x * -1) -19 + 6x = 30 + (8 + -1x) Combine like terms: 30 + 8 = 38 -19 + 6x = 38 + -1x Solving -19 + 6x = 38 + -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. -19 + 6x + x = 38 + -1x + x Combine like terms: 6x + x = 7x -19 + 7x = 38 + -1x + x Combine like terms: -1x + x = 0 -19 + 7x = 38 + 0 -19 + 7x = 38 Add '19' to each side of the equation. -19 + 19 + 7x = 38 + 19 Combine like terms: -19 + 19 = 0 0 + 7x = 38 + 19 7x = 38 + 19 Combine like terms: 38 + 19 = 57 7x = 57 Divide each side by '7'. x = 8.142857143 Simplifying x = 8.142857143
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