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Simplifying 4(x + -9) = 6(x + -7) Reorder the terms: 4(-9 + x) = 6(x + -7) (-9 * 4 + x * 4) = 6(x + -7) (-36 + 4x) = 6(x + -7) Reorder the terms: -36 + 4x = 6(-7 + x) -36 + 4x = (-7 * 6 + x * 6) -36 + 4x = (-42 + 6x) Solving -36 + 4x = -42 + 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. -36 + 4x + -6x = -42 + 6x + -6x Combine like terms: 4x + -6x = -2x -36 + -2x = -42 + 6x + -6x Combine like terms: 6x + -6x = 0 -36 + -2x = -42 + 0 -36 + -2x = -42 Add '36' to each side of the equation. -36 + 36 + -2x = -42 + 36 Combine like terms: -36 + 36 = 0 0 + -2x = -42 + 36 -2x = -42 + 36 Combine like terms: -42 + 36 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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