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Simplifying -1 + 3[-5x + -6(2 + 3x)] = -3x + -3 -1 + 3[-5x + (2 * -6 + 3x * -6)] = -3x + -3 -1 + 3[-5x + (-12 + -18x)] = -3x + -3 Reorder the terms: -1 + 3[-12 + -5x + -18x] = -3x + -3 Combine like terms: -5x + -18x = -23x -1 + 3[-12 + -23x] = -3x + -3 -1 + [-12 * 3 + -23x * 3] = -3x + -3 -1 + [-36 + -69x] = -3x + -3 Combine like terms: -1 + -36 = -37 -37 + -69x = -3x + -3 Reorder the terms: -37 + -69x = -3 + -3x Solving -37 + -69x = -3 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -37 + -69x + 3x = -3 + -3x + 3x Combine like terms: -69x + 3x = -66x -37 + -66x = -3 + -3x + 3x Combine like terms: -3x + 3x = 0 -37 + -66x = -3 + 0 -37 + -66x = -3 Add '37' to each side of the equation. -37 + 37 + -66x = -3 + 37 Combine like terms: -37 + 37 = 0 0 + -66x = -3 + 37 -66x = -3 + 37 Combine like terms: -3 + 37 = 34 -66x = 34 Divide each side by '-66'. x = -0.5151515152 Simplifying x = -0.5151515152
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