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Simplifying 2(3x + 4) = -10(x + -3) Reorder the terms: 2(4 + 3x) = -10(x + -3) (4 * 2 + 3x * 2) = -10(x + -3) (8 + 6x) = -10(x + -3) Reorder the terms: 8 + 6x = -10(-3 + x) 8 + 6x = (-3 * -10 + x * -10) 8 + 6x = (30 + -10x) Solving 8 + 6x = 30 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 8 + 6x + 10x = 30 + -10x + 10x Combine like terms: 6x + 10x = 16x 8 + 16x = 30 + -10x + 10x Combine like terms: -10x + 10x = 0 8 + 16x = 30 + 0 8 + 16x = 30 Add '-8' to each side of the equation. 8 + -8 + 16x = 30 + -8 Combine like terms: 8 + -8 = 0 0 + 16x = 30 + -8 16x = 30 + -8 Combine like terms: 30 + -8 = 22 16x = 22 Divide each side by '16'. x = 1.375 Simplifying x = 1.375
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