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Simplifying 2x(3x + -4) + 5 = 3x(2x + -5) + -4 Reorder the terms: 2x(-4 + 3x) + 5 = 3x(2x + -5) + -4 (-4 * 2x + 3x * 2x) + 5 = 3x(2x + -5) + -4 (-8x + 6x2) + 5 = 3x(2x + -5) + -4 Reorder the terms: 5 + -8x + 6x2 = 3x(2x + -5) + -4 Reorder the terms: 5 + -8x + 6x2 = 3x(-5 + 2x) + -4 5 + -8x + 6x2 = (-5 * 3x + 2x * 3x) + -4 5 + -8x + 6x2 = (-15x + 6x2) + -4 Reorder the terms: 5 + -8x + 6x2 = -4 + -15x + 6x2 Add '-6x2' to each side of the equation. 5 + -8x + 6x2 + -6x2 = -4 + -15x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 5 + -8x + 0 = -4 + -15x + 6x2 + -6x2 5 + -8x = -4 + -15x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 5 + -8x = -4 + -15x + 0 5 + -8x = -4 + -15x Solving 5 + -8x = -4 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 5 + -8x + 15x = -4 + -15x + 15x Combine like terms: -8x + 15x = 7x 5 + 7x = -4 + -15x + 15x Combine like terms: -15x + 15x = 0 5 + 7x = -4 + 0 5 + 7x = -4 Add '-5' to each side of the equation. 5 + -5 + 7x = -4 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = -4 + -5 7x = -4 + -5 Combine like terms: -4 + -5 = -9 7x = -9 Divide each side by '7'. x = -1.285714286 Simplifying x = -1.285714286
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