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Simplifying 6x + -4 = 4(3x + -7) Reorder the terms: -4 + 6x = 4(3x + -7) Reorder the terms: -4 + 6x = 4(-7 + 3x) -4 + 6x = (-7 * 4 + 3x * 4) -4 + 6x = (-28 + 12x) Solving -4 + 6x = -28 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -4 + 6x + -12x = -28 + 12x + -12x Combine like terms: 6x + -12x = -6x -4 + -6x = -28 + 12x + -12x Combine like terms: 12x + -12x = 0 -4 + -6x = -28 + 0 -4 + -6x = -28 Add '4' to each side of the equation. -4 + 4 + -6x = -28 + 4 Combine like terms: -4 + 4 = 0 0 + -6x = -28 + 4 -6x = -28 + 4 Combine like terms: -28 + 4 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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