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Simplifying -2(4x + 3) + 6x = 4(x + -3) Reorder the terms: -2(3 + 4x) + 6x = 4(x + -3) (3 * -2 + 4x * -2) + 6x = 4(x + -3) (-6 + -8x) + 6x = 4(x + -3) Combine like terms: -8x + 6x = -2x -6 + -2x = 4(x + -3) Reorder the terms: -6 + -2x = 4(-3 + x) -6 + -2x = (-3 * 4 + x * 4) -6 + -2x = (-12 + 4x) Solving -6 + -2x = -12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + -2x + -4x = -12 + 4x + -4x Combine like terms: -2x + -4x = -6x -6 + -6x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -6x = -12 + 0 -6 + -6x = -12 Add '6' to each side of the equation. -6 + 6 + -6x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = -12 + 6 -6x = -12 + 6 Combine like terms: -12 + 6 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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