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Simplifying 10(x + 3) = -3(2x + -1) Reorder the terms: 10(3 + x) = -3(2x + -1) (3 * 10 + x * 10) = -3(2x + -1) (30 + 10x) = -3(2x + -1) Reorder the terms: 30 + 10x = -3(-1 + 2x) 30 + 10x = (-1 * -3 + 2x * -3) 30 + 10x = (3 + -6x) Solving 30 + 10x = 3 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 30 + 10x + 6x = 3 + -6x + 6x Combine like terms: 10x + 6x = 16x 30 + 16x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 30 + 16x = 3 + 0 30 + 16x = 3 Add '-30' to each side of the equation. 30 + -30 + 16x = 3 + -30 Combine like terms: 30 + -30 = 0 0 + 16x = 3 + -30 16x = 3 + -30 Combine like terms: 3 + -30 = -27 16x = -27 Divide each side by '16'. x = -1.6875 Simplifying x = -1.6875
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