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Simplifying (3x + -12) * 29 = 29(4x + 7) Reorder the terms: (-12 + 3x) * 29 = 29(4x + 7) Reorder the terms for easier multiplication: 29(-12 + 3x) = 29(4x + 7) (-12 * 29 + 3x * 29) = 29(4x + 7) (-348 + 87x) = 29(4x + 7) Reorder the terms: -348 + 87x = 29(7 + 4x) -348 + 87x = (7 * 29 + 4x * 29) -348 + 87x = (203 + 116x) Solving -348 + 87x = 203 + 116x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-116x' to each side of the equation. -348 + 87x + -116x = 203 + 116x + -116x Combine like terms: 87x + -116x = -29x -348 + -29x = 203 + 116x + -116x Combine like terms: 116x + -116x = 0 -348 + -29x = 203 + 0 -348 + -29x = 203 Add '348' to each side of the equation. -348 + 348 + -29x = 203 + 348 Combine like terms: -348 + 348 = 0 0 + -29x = 203 + 348 -29x = 203 + 348 Combine like terms: 203 + 348 = 551 -29x = 551 Divide each side by '-29'. x = -19 Simplifying x = -19
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