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Simplifying 9 + 7(x + -4) = 6 + -8(x + -4) Reorder the terms: 9 + 7(-4 + x) = 6 + -8(x + -4) 9 + (-4 * 7 + x * 7) = 6 + -8(x + -4) 9 + (-28 + 7x) = 6 + -8(x + -4) Combine like terms: 9 + -28 = -19 -19 + 7x = 6 + -8(x + -4) Reorder the terms: -19 + 7x = 6 + -8(-4 + x) -19 + 7x = 6 + (-4 * -8 + x * -8) -19 + 7x = 6 + (32 + -8x) Combine like terms: 6 + 32 = 38 -19 + 7x = 38 + -8x Solving -19 + 7x = 38 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -19 + 7x + 8x = 38 + -8x + 8x Combine like terms: 7x + 8x = 15x -19 + 15x = 38 + -8x + 8x Combine like terms: -8x + 8x = 0 -19 + 15x = 38 + 0 -19 + 15x = 38 Add '19' to each side of the equation. -19 + 19 + 15x = 38 + 19 Combine like terms: -19 + 19 = 0 0 + 15x = 38 + 19 15x = 38 + 19 Combine like terms: 38 + 19 = 57 15x = 57 Divide each side by '15'. x = 3.8 Simplifying x = 3.8
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