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Simplifying 15x + (-6x + 5) + -2(-1x + 3) = (7x + 23) + -1(3x + -2x) Reorder the terms: 15x + (5 + -6x) + -2(-1x + 3) = (7x + 23) + -1(3x + -2x) Remove parenthesis around (5 + -6x) 15x + 5 + -6x + -2(-1x + 3) = (7x + 23) + -1(3x + -2x) Reorder the terms: 15x + 5 + -6x + -2(3 + -1x) = (7x + 23) + -1(3x + -2x) 15x + 5 + -6x + (3 * -2 + -1x * -2) = (7x + 23) + -1(3x + -2x) 15x + 5 + -6x + (-6 + 2x) = (7x + 23) + -1(3x + -2x) Reorder the terms: 5 + -6 + 15x + -6x + 2x = (7x + 23) + -1(3x + -2x) Combine like terms: 5 + -6 = -1 -1 + 15x + -6x + 2x = (7x + 23) + -1(3x + -2x) Combine like terms: 15x + -6x = 9x -1 + 9x + 2x = (7x + 23) + -1(3x + -2x) Combine like terms: 9x + 2x = 11x -1 + 11x = (7x + 23) + -1(3x + -2x) Reorder the terms: -1 + 11x = (23 + 7x) + -1(3x + -2x) Remove parenthesis around (23 + 7x) -1 + 11x = 23 + 7x + -1(3x + -2x) Combine like terms: 3x + -2x = 1x -1 + 11x = 23 + 7x + -1(1x) Remove parenthesis around (1x) -1 + 11x = 23 + 7x + -1 * 1x Multiply -1 * 1 -1 + 11x = 23 + 7x + -1x Combine like terms: 7x + -1x = 6x -1 + 11x = 23 + 6x Solving -1 + 11x = 23 + 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. -1 + 11x + -6x = 23 + 6x + -6x Combine like terms: 11x + -6x = 5x -1 + 5x = 23 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + 5x = 23 + 0 -1 + 5x = 23 Add '1' to each side of the equation. -1 + 1 + 5x = 23 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 23 + 1 5x = 23 + 1 Combine like terms: 23 + 1 = 24 5x = 24 Divide each side by '5'. x = 4.8 Simplifying x = 4.8
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