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Simplifying 4(2x + -3) + -4x = 6x + -18 Reorder the terms: 4(-3 + 2x) + -4x = 6x + -18 (-3 * 4 + 2x * 4) + -4x = 6x + -18 (-12 + 8x) + -4x = 6x + -18 Combine like terms: 8x + -4x = 4x -12 + 4x = 6x + -18 Reorder the terms: -12 + 4x = -18 + 6x Solving -12 + 4x = -18 + 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. -12 + 4x + -6x = -18 + 6x + -6x Combine like terms: 4x + -6x = -2x -12 + -2x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -2x = -18 + 0 -12 + -2x = -18 Add '12' to each side of the equation. -12 + 12 + -2x = -18 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = -18 + 12 -2x = -18 + 12 Combine like terms: -18 + 12 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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