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Simplifying -3x + 19 = 4x + -9 Reorder the terms: 19 + -3x = 4x + -9 Reorder the terms: 19 + -3x = -9 + 4x Solving 19 + -3x = -9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 19 + -3x + -4x = -9 + 4x + -4x Combine like terms: -3x + -4x = -7x 19 + -7x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 19 + -7x = -9 + 0 19 + -7x = -9 Add '-19' to each side of the equation. 19 + -19 + -7x = -9 + -19 Combine like terms: 19 + -19 = 0 0 + -7x = -9 + -19 -7x = -9 + -19 Combine like terms: -9 + -19 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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