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Simplifying 2(3x + -8) + -4x = 7x + 19 Reorder the terms: 2(-8 + 3x) + -4x = 7x + 19 (-8 * 2 + 3x * 2) + -4x = 7x + 19 (-16 + 6x) + -4x = 7x + 19 Combine like terms: 6x + -4x = 2x -16 + 2x = 7x + 19 Reorder the terms: -16 + 2x = 19 + 7x Solving -16 + 2x = 19 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -16 + 2x + -7x = 19 + 7x + -7x Combine like terms: 2x + -7x = -5x -16 + -5x = 19 + 7x + -7x Combine like terms: 7x + -7x = 0 -16 + -5x = 19 + 0 -16 + -5x = 19 Add '16' to each side of the equation. -16 + 16 + -5x = 19 + 16 Combine like terms: -16 + 16 = 0 0 + -5x = 19 + 16 -5x = 19 + 16 Combine like terms: 19 + 16 = 35 -5x = 35 Divide each side by '-5'. x = -7 Simplifying x = -7
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