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Simplifying -19 + 6x = -7 + 4(1 + x) -19 + 6x = -7 + (1 * 4 + x * 4) -19 + 6x = -7 + (4 + 4x) Combine like terms: -7 + 4 = -3 -19 + 6x = -3 + 4x Solving -19 + 6x = -3 + 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 + 6x + -4x = -3 + 4x + -4x Combine like terms: 6x + -4x = 2x -19 + 2x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 -19 + 2x = -3 + 0 -19 + 2x = -3 Add '19' to each side of the equation. -19 + 19 + 2x = -3 + 19 Combine like terms: -19 + 19 = 0 0 + 2x = -3 + 19 2x = -3 + 19 Combine like terms: -3 + 19 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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