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Simplifying 4x + -11 + -6x + 1 = 19 + -3x + -1 + -3x Reorder the terms: -11 + 1 + 4x + -6x = 19 + -3x + -1 + -3x Combine like terms: -11 + 1 = -10 -10 + 4x + -6x = 19 + -3x + -1 + -3x Combine like terms: 4x + -6x = -2x -10 + -2x = 19 + -3x + -1 + -3x Reorder the terms: -10 + -2x = 19 + -1 + -3x + -3x Combine like terms: 19 + -1 = 18 -10 + -2x = 18 + -3x + -3x Combine like terms: -3x + -3x = -6x -10 + -2x = 18 + -6x Solving -10 + -2x = 18 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -10 + -2x + 6x = 18 + -6x + 6x Combine like terms: -2x + 6x = 4x -10 + 4x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 + 4x = 18 + 0 -10 + 4x = 18 Add '10' to each side of the equation. -10 + 10 + 4x = 18 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 18 + 10 4x = 18 + 10 Combine like terms: 18 + 10 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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