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Simplifying 4x + -5(2x + 1) = 7x + 3(4x + -5) Reorder the terms: 4x + -5(1 + 2x) = 7x + 3(4x + -5) 4x + (1 * -5 + 2x * -5) = 7x + 3(4x + -5) 4x + (-5 + -10x) = 7x + 3(4x + -5) Reorder the terms: -5 + 4x + -10x = 7x + 3(4x + -5) Combine like terms: 4x + -10x = -6x -5 + -6x = 7x + 3(4x + -5) Reorder the terms: -5 + -6x = 7x + 3(-5 + 4x) -5 + -6x = 7x + (-5 * 3 + 4x * 3) -5 + -6x = 7x + (-15 + 12x) Reorder the terms: -5 + -6x = -15 + 7x + 12x Combine like terms: 7x + 12x = 19x -5 + -6x = -15 + 19x Solving -5 + -6x = -15 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -5 + -6x + -19x = -15 + 19x + -19x Combine like terms: -6x + -19x = -25x -5 + -25x = -15 + 19x + -19x Combine like terms: 19x + -19x = 0 -5 + -25x = -15 + 0 -5 + -25x = -15 Add '5' to each side of the equation. -5 + 5 + -25x = -15 + 5 Combine like terms: -5 + 5 = 0 0 + -25x = -15 + 5 -25x = -15 + 5 Combine like terms: -15 + 5 = -10 -25x = -10 Divide each side by '-25'. x = 0.4 Simplifying x = 0.4
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