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Simplifying 4(x + -3) * 2 = 2(3x + -7) Reorder the terms: 4(-3 + x) * 2 = 2(3x + -7) Reorder the terms for easier multiplication: 4 * 2(-3 + x) = 2(3x + -7) Multiply 4 * 2 8(-3 + x) = 2(3x + -7) (-3 * 8 + x * 8) = 2(3x + -7) (-24 + 8x) = 2(3x + -7) Reorder the terms: -24 + 8x = 2(-7 + 3x) -24 + 8x = (-7 * 2 + 3x * 2) -24 + 8x = (-14 + 6x) Solving -24 + 8x = -14 + 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. -24 + 8x + -6x = -14 + 6x + -6x Combine like terms: 8x + -6x = 2x -24 + 2x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 -24 + 2x = -14 + 0 -24 + 2x = -14 Add '24' to each side of the equation. -24 + 24 + 2x = -14 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = -14 + 24 2x = -14 + 24 Combine like terms: -14 + 24 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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