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Simplifying 30x + -16 = 6x + 4 + -1(2x + 10) Reorder the terms: -16 + 30x = 6x + 4 + -1(2x + 10) Reorder the terms: -16 + 30x = 6x + 4 + -1(10 + 2x) -16 + 30x = 6x + 4 + (10 * -1 + 2x * -1) -16 + 30x = 6x + 4 + (-10 + -2x) Reorder the terms: -16 + 30x = 4 + -10 + 6x + -2x Combine like terms: 4 + -10 = -6 -16 + 30x = -6 + 6x + -2x Combine like terms: 6x + -2x = 4x -16 + 30x = -6 + 4x Solving -16 + 30x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -16 + 30x + -4x = -6 + 4x + -4x Combine like terms: 30x + -4x = 26x -16 + 26x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -16 + 26x = -6 + 0 -16 + 26x = -6 Add '16' to each side of the equation. -16 + 16 + 26x = -6 + 16 Combine like terms: -16 + 16 = 0 0 + 26x = -6 + 16 26x = -6 + 16 Combine like terms: -6 + 16 = 10 26x = 10 Divide each side by '26'. x = 0.3846153846 Simplifying x = 0.3846153846
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