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Simplifying 3(x + -4) + x + -7 = 2x + 5 Reorder the terms: 3(-4 + x) + x + -7 = 2x + 5 (-4 * 3 + x * 3) + x + -7 = 2x + 5 (-12 + 3x) + x + -7 = 2x + 5 Reorder the terms: -12 + -7 + 3x + x = 2x + 5 Combine like terms: -12 + -7 = -19 -19 + 3x + x = 2x + 5 Combine like terms: 3x + x = 4x -19 + 4x = 2x + 5 Reorder the terms: -19 + 4x = 5 + 2x Solving -19 + 4x = 5 + 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. -19 + 4x + -2x = 5 + 2x + -2x Combine like terms: 4x + -2x = 2x -19 + 2x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -19 + 2x = 5 + 0 -19 + 2x = 5 Add '19' to each side of the equation. -19 + 19 + 2x = 5 + 19 Combine like terms: -19 + 19 = 0 0 + 2x = 5 + 19 2x = 5 + 19 Combine like terms: 5 + 19 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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