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Simplifying -5x + 1 + 3x = 6 + -1(4x + -3) Reorder the terms: 1 + -5x + 3x = 6 + -1(4x + -3) Combine like terms: -5x + 3x = -2x 1 + -2x = 6 + -1(4x + -3) Reorder the terms: 1 + -2x = 6 + -1(-3 + 4x) 1 + -2x = 6 + (-3 * -1 + 4x * -1) 1 + -2x = 6 + (3 + -4x) Combine like terms: 6 + 3 = 9 1 + -2x = 9 + -4x Solving 1 + -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. 1 + -2x + 4x = 9 + -4x + 4x Combine like terms: -2x + 4x = 2x 1 + 2x = 9 + -4x + 4x Combine like terms: -4x + 4x = 0 1 + 2x = 9 + 0 1 + 2x = 9 Add '-1' to each side of the equation. 1 + -1 + 2x = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 9 + -1 2x = 9 + -1 Combine like terms: 9 + -1 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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