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Simplifying 4(x + -7) + 3 = 2(x + 1) + -3 Reorder the terms: 4(-7 + x) + 3 = 2(x + 1) + -3 (-7 * 4 + x * 4) + 3 = 2(x + 1) + -3 (-28 + 4x) + 3 = 2(x + 1) + -3 Reorder the terms: -28 + 3 + 4x = 2(x + 1) + -3 Combine like terms: -28 + 3 = -25 -25 + 4x = 2(x + 1) + -3 Reorder the terms: -25 + 4x = 2(1 + x) + -3 -25 + 4x = (1 * 2 + x * 2) + -3 -25 + 4x = (2 + 2x) + -3 Reorder the terms: -25 + 4x = 2 + -3 + 2x Combine like terms: 2 + -3 = -1 -25 + 4x = -1 + 2x Solving -25 + 4x = -1 + 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. -25 + 4x + -2x = -1 + 2x + -2x Combine like terms: 4x + -2x = 2x -25 + 2x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 -25 + 2x = -1 + 0 -25 + 2x = -1 Add '25' to each side of the equation. -25 + 25 + 2x = -1 + 25 Combine like terms: -25 + 25 = 0 0 + 2x = -1 + 25 2x = -1 + 25 Combine like terms: -1 + 25 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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