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Simplifying 3x + 19 = 7x + -5 Reorder the terms: 19 + 3x = 7x + -5 Reorder the terms: 19 + 3x = -5 + 7x Solving 19 + 3x = -5 + 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. 19 + 3x + -7x = -5 + 7x + -7x Combine like terms: 3x + -7x = -4x 19 + -4x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 19 + -4x = -5 + 0 19 + -4x = -5 Add '-19' to each side of the equation. 19 + -19 + -4x = -5 + -19 Combine like terms: 19 + -19 = 0 0 + -4x = -5 + -19 -4x = -5 + -19 Combine like terms: -5 + -19 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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