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Simplifying 3(x + -6) + -9(x + 4) = -4(x + 10) Reorder the terms: 3(-6 + x) + -9(x + 4) = -4(x + 10) (-6 * 3 + x * 3) + -9(x + 4) = -4(x + 10) (-18 + 3x) + -9(x + 4) = -4(x + 10) Reorder the terms: -18 + 3x + -9(4 + x) = -4(x + 10) -18 + 3x + (4 * -9 + x * -9) = -4(x + 10) -18 + 3x + (-36 + -9x) = -4(x + 10) Reorder the terms: -18 + -36 + 3x + -9x = -4(x + 10) Combine like terms: -18 + -36 = -54 -54 + 3x + -9x = -4(x + 10) Combine like terms: 3x + -9x = -6x -54 + -6x = -4(x + 10) Reorder the terms: -54 + -6x = -4(10 + x) -54 + -6x = (10 * -4 + x * -4) -54 + -6x = (-40 + -4x) Solving -54 + -6x = -40 + -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. -54 + -6x + 4x = -40 + -4x + 4x Combine like terms: -6x + 4x = -2x -54 + -2x = -40 + -4x + 4x Combine like terms: -4x + 4x = 0 -54 + -2x = -40 + 0 -54 + -2x = -40 Add '54' to each side of the equation. -54 + 54 + -2x = -40 + 54 Combine like terms: -54 + 54 = 0 0 + -2x = -40 + 54 -2x = -40 + 54 Combine like terms: -40 + 54 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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