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Simplifying 6x + 30 + 4x = 1 + -1(x + 3) Reorder the terms: 30 + 6x + 4x = 1 + -1(x + 3) Combine like terms: 6x + 4x = 10x 30 + 10x = 1 + -1(x + 3) Reorder the terms: 30 + 10x = 1 + -1(3 + x) 30 + 10x = 1 + (3 * -1 + x * -1) 30 + 10x = 1 + (-3 + -1x) Combine like terms: 1 + -3 = -2 30 + 10x = -2 + -1x Solving 30 + 10x = -2 + -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. 30 + 10x + x = -2 + -1x + x Combine like terms: 10x + x = 11x 30 + 11x = -2 + -1x + x Combine like terms: -1x + x = 0 30 + 11x = -2 + 0 30 + 11x = -2 Add '-30' to each side of the equation. 30 + -30 + 11x = -2 + -30 Combine like terms: 30 + -30 = 0 0 + 11x = -2 + -30 11x = -2 + -30 Combine like terms: -2 + -30 = -32 11x = -32 Divide each side by '11'. x = -2.909090909 Simplifying x = -2.909090909
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