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Simplifying 4x + 19 = -2x + 61 Reorder the terms: 19 + 4x = -2x + 61 Reorder the terms: 19 + 4x = 61 + -2x Solving 19 + 4x = 61 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 19 + 4x + 2x = 61 + -2x + 2x Combine like terms: 4x + 2x = 6x 19 + 6x = 61 + -2x + 2x Combine like terms: -2x + 2x = 0 19 + 6x = 61 + 0 19 + 6x = 61 Add '-19' to each side of the equation. 19 + -19 + 6x = 61 + -19 Combine like terms: 19 + -19 = 0 0 + 6x = 61 + -19 6x = 61 + -19 Combine like terms: 61 + -19 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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