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Simplifying -6(4x + 1) + 10x = 4 + -9(x + -3) Reorder the terms: -6(1 + 4x) + 10x = 4 + -9(x + -3) (1 * -6 + 4x * -6) + 10x = 4 + -9(x + -3) (-6 + -24x) + 10x = 4 + -9(x + -3) Combine like terms: -24x + 10x = -14x -6 + -14x = 4 + -9(x + -3) Reorder the terms: -6 + -14x = 4 + -9(-3 + x) -6 + -14x = 4 + (-3 * -9 + x * -9) -6 + -14x = 4 + (27 + -9x) Combine like terms: 4 + 27 = 31 -6 + -14x = 31 + -9x Solving -6 + -14x = 31 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -6 + -14x + 9x = 31 + -9x + 9x Combine like terms: -14x + 9x = -5x -6 + -5x = 31 + -9x + 9x Combine like terms: -9x + 9x = 0 -6 + -5x = 31 + 0 -6 + -5x = 31 Add '6' to each side of the equation. -6 + 6 + -5x = 31 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 31 + 6 -5x = 31 + 6 Combine like terms: 31 + 6 = 37 -5x = 37 Divide each side by '-5'. x = -7.4 Simplifying x = -7.4
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