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Simplifying 7(5x + -4) + 6x = 3x + -21 + 34x Reorder the terms: 7(-4 + 5x) + 6x = 3x + -21 + 34x (-4 * 7 + 5x * 7) + 6x = 3x + -21 + 34x (-28 + 35x) + 6x = 3x + -21 + 34x Combine like terms: 35x + 6x = 41x -28 + 41x = 3x + -21 + 34x Reorder the terms: -28 + 41x = -21 + 3x + 34x Combine like terms: 3x + 34x = 37x -28 + 41x = -21 + 37x Solving -28 + 41x = -21 + 37x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37x' to each side of the equation. -28 + 41x + -37x = -21 + 37x + -37x Combine like terms: 41x + -37x = 4x -28 + 4x = -21 + 37x + -37x Combine like terms: 37x + -37x = 0 -28 + 4x = -21 + 0 -28 + 4x = -21 Add '28' to each side of the equation. -28 + 28 + 4x = -21 + 28 Combine like terms: -28 + 28 = 0 0 + 4x = -21 + 28 4x = -21 + 28 Combine like terms: -21 + 28 = 7 4x = 7 Divide each side by '4'. x = 1.75 Simplifying x = 1.75
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