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Simplifying 2x + 19 + -1x = 7 + 4x + -6 Reorder the terms: 19 + 2x + -1x = 7 + 4x + -6 Combine like terms: 2x + -1x = 1x 19 + 1x = 7 + 4x + -6 Reorder the terms: 19 + 1x = 7 + -6 + 4x Combine like terms: 7 + -6 = 1 19 + 1x = 1 + 4x Solving 19 + 1x = 1 + 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 + 1x + -4x = 1 + 4x + -4x Combine like terms: 1x + -4x = -3x 19 + -3x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 19 + -3x = 1 + 0 19 + -3x = 1 Add '-19' to each side of the equation. 19 + -19 + -3x = 1 + -19 Combine like terms: 19 + -19 = 0 0 + -3x = 1 + -19 -3x = 1 + -19 Combine like terms: 1 + -19 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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