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Simplifying -5(x + 3) + -1(9x + -4) = x + -5 + 3 Reorder the terms: -5(3 + x) + -1(9x + -4) = x + -5 + 3 (3 * -5 + x * -5) + -1(9x + -4) = x + -5 + 3 (-15 + -5x) + -1(9x + -4) = x + -5 + 3 Reorder the terms: -15 + -5x + -1(-4 + 9x) = x + -5 + 3 -15 + -5x + (-4 * -1 + 9x * -1) = x + -5 + 3 -15 + -5x + (4 + -9x) = x + -5 + 3 Reorder the terms: -15 + 4 + -5x + -9x = x + -5 + 3 Combine like terms: -15 + 4 = -11 -11 + -5x + -9x = x + -5 + 3 Combine like terms: -5x + -9x = -14x -11 + -14x = x + -5 + 3 Reorder the terms: -11 + -14x = -5 + 3 + x Combine like terms: -5 + 3 = -2 -11 + -14x = -2 + x Solving -11 + -14x = -2 + x 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. -11 + -14x + -1x = -2 + x + -1x Combine like terms: -14x + -1x = -15x -11 + -15x = -2 + x + -1x Combine like terms: x + -1x = 0 -11 + -15x = -2 + 0 -11 + -15x = -2 Add '11' to each side of the equation. -11 + 11 + -15x = -2 + 11 Combine like terms: -11 + 11 = 0 0 + -15x = -2 + 11 -15x = -2 + 11 Combine like terms: -2 + 11 = 9 -15x = 9 Divide each side by '-15'. x = -0.6 Simplifying x = -0.6
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