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Simplifying 6 + -3 + 4x + 1 = 7x + 49 Reorder the terms: 6 + -3 + 1 + 4x = 7x + 49 Combine like terms: 6 + -3 = 3 3 + 1 + 4x = 7x + 49 Combine like terms: 3 + 1 = 4 4 + 4x = 7x + 49 Reorder the terms: 4 + 4x = 49 + 7x Solving 4 + 4x = 49 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4 + 4x + -7x = 49 + 7x + -7x Combine like terms: 4x + -7x = -3x 4 + -3x = 49 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -3x = 49 + 0 4 + -3x = 49 Add '-4' to each side of the equation. 4 + -4 + -3x = 49 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 49 + -4 -3x = 49 + -4 Combine like terms: 49 + -4 = 45 -3x = 45 Divide each side by '-3'. x = -15 Simplifying x = -15
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