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Simplifying 4x + 6 = 2(3x + -4) Reorder the terms: 6 + 4x = 2(3x + -4) Reorder the terms: 6 + 4x = 2(-4 + 3x) 6 + 4x = (-4 * 2 + 3x * 2) 6 + 4x = (-8 + 6x) Solving 6 + 4x = -8 + 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. 6 + 4x + -6x = -8 + 6x + -6x Combine like terms: 4x + -6x = -2x 6 + -2x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -2x = -8 + 0 6 + -2x = -8 Add '-6' to each side of the equation. 6 + -6 + -2x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = -8 + -6 -2x = -8 + -6 Combine like terms: -8 + -6 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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