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Simplifying 7 + 3(5x + -4) = 9 + -5(2x + 1) Reorder the terms: 7 + 3(-4 + 5x) = 9 + -5(2x + 1) 7 + (-4 * 3 + 5x * 3) = 9 + -5(2x + 1) 7 + (-12 + 15x) = 9 + -5(2x + 1) Combine like terms: 7 + -12 = -5 -5 + 15x = 9 + -5(2x + 1) Reorder the terms: -5 + 15x = 9 + -5(1 + 2x) -5 + 15x = 9 + (1 * -5 + 2x * -5) -5 + 15x = 9 + (-5 + -10x) Combine like terms: 9 + -5 = 4 -5 + 15x = 4 + -10x Solving -5 + 15x = 4 + -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. -5 + 15x + 10x = 4 + -10x + 10x Combine like terms: 15x + 10x = 25x -5 + 25x = 4 + -10x + 10x Combine like terms: -10x + 10x = 0 -5 + 25x = 4 + 0 -5 + 25x = 4 Add '5' to each side of the equation. -5 + 5 + 25x = 4 + 5 Combine like terms: -5 + 5 = 0 0 + 25x = 4 + 5 25x = 4 + 5 Combine like terms: 4 + 5 = 9 25x = 9 Divide each side by '25'. x = 0.36 Simplifying x = 0.36
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