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