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Simplifying 4 + 9(x + -4) = 1 + -6(x + -3) Reorder the terms: 4 + 9(-4 + x) = 1 + -6(x + -3) 4 + (-4 * 9 + x * 9) = 1 + -6(x + -3) 4 + (-36 + 9x) = 1 + -6(x + -3) Combine like terms: 4 + -36 = -32 -32 + 9x = 1 + -6(x + -3) Reorder the terms: -32 + 9x = 1 + -6(-3 + x) -32 + 9x = 1 + (-3 * -6 + x * -6) -32 + 9x = 1 + (18 + -6x) Combine like terms: 1 + 18 = 19 -32 + 9x = 19 + -6x Solving -32 + 9x = 19 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -32 + 9x + 6x = 19 + -6x + 6x Combine like terms: 9x + 6x = 15x -32 + 15x = 19 + -6x + 6x Combine like terms: -6x + 6x = 0 -32 + 15x = 19 + 0 -32 + 15x = 19 Add '32' to each side of the equation. -32 + 32 + 15x = 19 + 32 Combine like terms: -32 + 32 = 0 0 + 15x = 19 + 32 15x = 19 + 32 Combine like terms: 19 + 32 = 51 15x = 51 Divide each side by '15'. x = 3.4 Simplifying x = 3.4
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