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Simplifying 3(2x + -4) + 3 = -2x + 47 Reorder the terms: 3(-4 + 2x) + 3 = -2x + 47 (-4 * 3 + 2x * 3) + 3 = -2x + 47 (-12 + 6x) + 3 = -2x + 47 Reorder the terms: -12 + 3 + 6x = -2x + 47 Combine like terms: -12 + 3 = -9 -9 + 6x = -2x + 47 Reorder the terms: -9 + 6x = 47 + -2x Solving -9 + 6x = 47 + -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. -9 + 6x + 2x = 47 + -2x + 2x Combine like terms: 6x + 2x = 8x -9 + 8x = 47 + -2x + 2x Combine like terms: -2x + 2x = 0 -9 + 8x = 47 + 0 -9 + 8x = 47 Add '9' to each side of the equation. -9 + 9 + 8x = 47 + 9 Combine like terms: -9 + 9 = 0 0 + 8x = 47 + 9 8x = 47 + 9 Combine like terms: 47 + 9 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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