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Simplifying 2(4x + -3) = 10(x + 5) Reorder the terms: 2(-3 + 4x) = 10(x + 5) (-3 * 2 + 4x * 2) = 10(x + 5) (-6 + 8x) = 10(x + 5) Reorder the terms: -6 + 8x = 10(5 + x) -6 + 8x = (5 * 10 + x * 10) -6 + 8x = (50 + 10x) Solving -6 + 8x = 50 + 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. -6 + 8x + -10x = 50 + 10x + -10x Combine like terms: 8x + -10x = -2x -6 + -2x = 50 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + -2x = 50 + 0 -6 + -2x = 50 Add '6' to each side of the equation. -6 + 6 + -2x = 50 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 50 + 6 -2x = 50 + 6 Combine like terms: 50 + 6 = 56 -2x = 56 Divide each side by '-2'. x = -28 Simplifying x = -28
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