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Simplifying 6x + -9(x + -4) = -4(x + -7) + -9 Reorder the terms: 6x + -9(-4 + x) = -4(x + -7) + -9 6x + (-4 * -9 + x * -9) = -4(x + -7) + -9 6x + (36 + -9x) = -4(x + -7) + -9 Reorder the terms: 36 + 6x + -9x = -4(x + -7) + -9 Combine like terms: 6x + -9x = -3x 36 + -3x = -4(x + -7) + -9 Reorder the terms: 36 + -3x = -4(-7 + x) + -9 36 + -3x = (-7 * -4 + x * -4) + -9 36 + -3x = (28 + -4x) + -9 Reorder the terms: 36 + -3x = 28 + -9 + -4x Combine like terms: 28 + -9 = 19 36 + -3x = 19 + -4x Solving 36 + -3x = 19 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 36 + -3x + 4x = 19 + -4x + 4x Combine like terms: -3x + 4x = 1x 36 + 1x = 19 + -4x + 4x Combine like terms: -4x + 4x = 0 36 + 1x = 19 + 0 36 + 1x = 19 Add '-36' to each side of the equation. 36 + -36 + 1x = 19 + -36 Combine like terms: 36 + -36 = 0 0 + 1x = 19 + -36 1x = 19 + -36 Combine like terms: 19 + -36 = -17 1x = -17 Divide each side by '1'. x = -17 Simplifying x = -17
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