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Simplifying -10 = -4(x + -3) + 6(x + -6) Reorder the terms: -10 = -4(-3 + x) + 6(x + -6) -10 = (-3 * -4 + x * -4) + 6(x + -6) -10 = (12 + -4x) + 6(x + -6) Reorder the terms: -10 = 12 + -4x + 6(-6 + x) -10 = 12 + -4x + (-6 * 6 + x * 6) -10 = 12 + -4x + (-36 + 6x) Reorder the terms: -10 = 12 + -36 + -4x + 6x Combine like terms: 12 + -36 = -24 -10 = -24 + -4x + 6x Combine like terms: -4x + 6x = 2x -10 = -24 + 2x Solving -10 = -24 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -10 + -2x = -24 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + -2x = -24 + 0 -10 + -2x = -24 Add '10' to each side of the equation. -10 + 10 + -2x = -24 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = -24 + 10 -2x = -24 + 10 Combine like terms: -24 + 10 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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