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Simplifying 2(3x + -7) + -4 = 2(x + -3) + 12 Reorder the terms: 2(-7 + 3x) + -4 = 2(x + -3) + 12 (-7 * 2 + 3x * 2) + -4 = 2(x + -3) + 12 (-14 + 6x) + -4 = 2(x + -3) + 12 Reorder the terms: -14 + -4 + 6x = 2(x + -3) + 12 Combine like terms: -14 + -4 = -18 -18 + 6x = 2(x + -3) + 12 Reorder the terms: -18 + 6x = 2(-3 + x) + 12 -18 + 6x = (-3 * 2 + x * 2) + 12 -18 + 6x = (-6 + 2x) + 12 Reorder the terms: -18 + 6x = -6 + 12 + 2x Combine like terms: -6 + 12 = 6 -18 + 6x = 6 + 2x Solving -18 + 6x = 6 + 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. -18 + 6x + -2x = 6 + 2x + -2x Combine like terms: 6x + -2x = 4x -18 + 4x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 4x = 6 + 0 -18 + 4x = 6 Add '18' to each side of the equation. -18 + 18 + 4x = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 4x = 6 + 18 4x = 6 + 18 Combine like terms: 6 + 18 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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