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Simplifying -5 + -1(x + 1) + 3x = 6 + -1(4x + -3) Reorder the terms: -5 + -1(1 + x) + 3x = 6 + -1(4x + -3) -5 + (1 * -1 + x * -1) + 3x = 6 + -1(4x + -3) -5 + (-1 + -1x) + 3x = 6 + -1(4x + -3) Combine like terms: -5 + -1 = -6 -6 + -1x + 3x = 6 + -1(4x + -3) Combine like terms: -1x + 3x = 2x -6 + 2x = 6 + -1(4x + -3) Reorder the terms: -6 + 2x = 6 + -1(-3 + 4x) -6 + 2x = 6 + (-3 * -1 + 4x * -1) -6 + 2x = 6 + (3 + -4x) Combine like terms: 6 + 3 = 9 -6 + 2x = 9 + -4x Solving -6 + 2x = 9 + -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. -6 + 2x + 4x = 9 + -4x + 4x Combine like terms: 2x + 4x = 6x -6 + 6x = 9 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 6x = 9 + 0 -6 + 6x = 9 Add '6' to each side of the equation. -6 + 6 + 6x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 9 + 6 6x = 9 + 6 Combine like terms: 9 + 6 = 15 6x = 15 Divide each side by '6'. x = 2.5 Simplifying x = 2.5
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