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Simplifying 6x + -3 + -1(x + -5) + 19 = -6 + 3(x + 2) + -4x Reorder the terms: 6x + -3 + -1(-5 + x) + 19 = -6 + 3(x + 2) + -4x 6x + -3 + (-5 * -1 + x * -1) + 19 = -6 + 3(x + 2) + -4x 6x + -3 + (5 + -1x) + 19 = -6 + 3(x + 2) + -4x Reorder the terms: -3 + 5 + 19 + 6x + -1x = -6 + 3(x + 2) + -4x Combine like terms: -3 + 5 = 2 2 + 19 + 6x + -1x = -6 + 3(x + 2) + -4x Combine like terms: 2 + 19 = 21 21 + 6x + -1x = -6 + 3(x + 2) + -4x Combine like terms: 6x + -1x = 5x 21 + 5x = -6 + 3(x + 2) + -4x Reorder the terms: 21 + 5x = -6 + 3(2 + x) + -4x 21 + 5x = -6 + (2 * 3 + x * 3) + -4x 21 + 5x = -6 + (6 + 3x) + -4x Combine like terms: -6 + 6 = 0 21 + 5x = 0 + 3x + -4x 21 + 5x = 3x + -4x Combine like terms: 3x + -4x = -1x 21 + 5x = -1x Solving 21 + 5x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 21 + 5x + x = -1x + x Combine like terms: 5x + x = 6x 21 + 6x = -1x + x Combine like terms: -1x + x = 0 21 + 6x = 0 Add '-21' to each side of the equation. 21 + -21 + 6x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 6x = 0 + -21 6x = 0 + -21 Combine like terms: 0 + -21 = -21 6x = -21 Divide each side by '6'. x = -3.5 Simplifying x = -3.5
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