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Simplifying -1x + 5(3x + -2) + 6 = 3(x + 3) + -2x Reorder the terms: -1x + 5(-2 + 3x) + 6 = 3(x + 3) + -2x -1x + (-2 * 5 + 3x * 5) + 6 = 3(x + 3) + -2x -1x + (-10 + 15x) + 6 = 3(x + 3) + -2x Reorder the terms: -10 + 6 + -1x + 15x = 3(x + 3) + -2x Combine like terms: -10 + 6 = -4 -4 + -1x + 15x = 3(x + 3) + -2x Combine like terms: -1x + 15x = 14x -4 + 14x = 3(x + 3) + -2x Reorder the terms: -4 + 14x = 3(3 + x) + -2x -4 + 14x = (3 * 3 + x * 3) + -2x -4 + 14x = (9 + 3x) + -2x Combine like terms: 3x + -2x = 1x -4 + 14x = 9 + 1x Solving -4 + 14x = 9 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4 + 14x + -1x = 9 + 1x + -1x Combine like terms: 14x + -1x = 13x -4 + 13x = 9 + 1x + -1x Combine like terms: 1x + -1x = 0 -4 + 13x = 9 + 0 -4 + 13x = 9 Add '4' to each side of the equation. -4 + 4 + 13x = 9 + 4 Combine like terms: -4 + 4 = 0 0 + 13x = 9 + 4 13x = 9 + 4 Combine like terms: 9 + 4 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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