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Simplifying 8x + 30 = 40 + 2(x + -7) Reorder the terms: 30 + 8x = 40 + 2(x + -7) Reorder the terms: 30 + 8x = 40 + 2(-7 + x) 30 + 8x = 40 + (-7 * 2 + x * 2) 30 + 8x = 40 + (-14 + 2x) Combine like terms: 40 + -14 = 26 30 + 8x = 26 + 2x Solving 30 + 8x = 26 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 30 + 8x + -2x = 26 + 2x + -2x Combine like terms: 8x + -2x = 6x 30 + 6x = 26 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + 6x = 26 + 0 30 + 6x = 26 Add '-30' to each side of the equation. 30 + -30 + 6x = 26 + -30 Combine like terms: 30 + -30 = 0 0 + 6x = 26 + -30 6x = 26 + -30 Combine like terms: 26 + -30 = -4 6x = -4 Divide each side by '6'. x = -0.6666666667 Simplifying x = -0.6666666667
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