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Simplifying 3(5x + 4) + -2(8 + 9x) = 5(3x + 2x) + -4 Reorder the terms: 3(4 + 5x) + -2(8 + 9x) = 5(3x + 2x) + -4 (4 * 3 + 5x * 3) + -2(8 + 9x) = 5(3x + 2x) + -4 (12 + 15x) + -2(8 + 9x) = 5(3x + 2x) + -4 12 + 15x + (8 * -2 + 9x * -2) = 5(3x + 2x) + -4 12 + 15x + (-16 + -18x) = 5(3x + 2x) + -4 Reorder the terms: 12 + -16 + 15x + -18x = 5(3x + 2x) + -4 Combine like terms: 12 + -16 = -4 -4 + 15x + -18x = 5(3x + 2x) + -4 Combine like terms: 15x + -18x = -3x -4 + -3x = 5(3x + 2x) + -4 Combine like terms: 3x + 2x = 5x -4 + -3x = 5(5x) + -4 Remove parenthesis around (5x) -4 + -3x = 5 * 5x + -4 Multiply 5 * 5 -4 + -3x = 25x + -4 Reorder the terms: -4 + -3x = -4 + 25x Add '4' to each side of the equation. -4 + 4 + -3x = -4 + 4 + 25x Combine like terms: -4 + 4 = 0 0 + -3x = -4 + 4 + 25x -3x = -4 + 4 + 25x Combine like terms: -4 + 4 = 0 -3x = 0 + 25x -3x = 25x Solving -3x = 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -3x + -25x = 25x + -25x Combine like terms: -3x + -25x = -28x -28x = 25x + -25x Combine like terms: 25x + -25x = 0 -28x = 0 Divide each side by '-28'. x = 0 Simplifying x = 0
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