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Simplifying 6 + 3(5x + -4) = 8 + -5(2x + 1) Reorder the terms: 6 + 3(-4 + 5x) = 8 + -5(2x + 1) 6 + (-4 * 3 + 5x * 3) = 8 + -5(2x + 1) 6 + (-12 + 15x) = 8 + -5(2x + 1) Combine like terms: 6 + -12 = -6 -6 + 15x = 8 + -5(2x + 1) Reorder the terms: -6 + 15x = 8 + -5(1 + 2x) -6 + 15x = 8 + (1 * -5 + 2x * -5) -6 + 15x = 8 + (-5 + -10x) Combine like terms: 8 + -5 = 3 -6 + 15x = 3 + -10x Solving -6 + 15x = 3 + -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 + 15x + 10x = 3 + -10x + 10x Combine like terms: 15x + 10x = 25x -6 + 25x = 3 + -10x + 10x Combine like terms: -10x + 10x = 0 -6 + 25x = 3 + 0 -6 + 25x = 3 Add '6' to each side of the equation. -6 + 6 + 25x = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 25x = 3 + 6 25x = 3 + 6 Combine like terms: 3 + 6 = 9 25x = 9 Divide each side by '25'. x = 0.36 Simplifying x = 0.36
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