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Simplifying 6(-2 + 7x) + 4x = 36 + -2x (-2 * 6 + 7x * 6) + 4x = 36 + -2x (-12 + 42x) + 4x = 36 + -2x Combine like terms: 42x + 4x = 46x -12 + 46x = 36 + -2x Solving -12 + 46x = 36 + -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. -12 + 46x + 2x = 36 + -2x + 2x Combine like terms: 46x + 2x = 48x -12 + 48x = 36 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 48x = 36 + 0 -12 + 48x = 36 Add '12' to each side of the equation. -12 + 12 + 48x = 36 + 12 Combine like terms: -12 + 12 = 0 0 + 48x = 36 + 12 48x = 36 + 12 Combine like terms: 36 + 12 = 48 48x = 48 Divide each side by '48'. x = 1 Simplifying x = 1
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