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Simplifying -6(4x + 1) + 7 + 9(x + -3) = 4 Reorder the terms: -6(1 + 4x) + 7 + 9(x + -3) = 4 (1 * -6 + 4x * -6) + 7 + 9(x + -3) = 4 (-6 + -24x) + 7 + 9(x + -3) = 4 Reorder the terms: -6 + -24x + 7 + 9(-3 + x) = 4 -6 + -24x + 7 + (-3 * 9 + x * 9) = 4 -6 + -24x + 7 + (-27 + 9x) = 4 Reorder the terms: -6 + 7 + -27 + -24x + 9x = 4 Combine like terms: -6 + 7 = 1 1 + -27 + -24x + 9x = 4 Combine like terms: 1 + -27 = -26 -26 + -24x + 9x = 4 Combine like terms: -24x + 9x = -15x -26 + -15x = 4 Solving -26 + -15x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + -15x = 4 + 26 Combine like terms: -26 + 26 = 0 0 + -15x = 4 + 26 -15x = 4 + 26 Combine like terms: 4 + 26 = 30 -15x = 30 Divide each side by '-15'. x = -2 Simplifying x = -2
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