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Simplifying 7x + 14 + -3x + 3 = 5x + -30 + -16x + -48 Reorder the terms: 14 + 3 + 7x + -3x = 5x + -30 + -16x + -48 Combine like terms: 14 + 3 = 17 17 + 7x + -3x = 5x + -30 + -16x + -48 Combine like terms: 7x + -3x = 4x 17 + 4x = 5x + -30 + -16x + -48 Reorder the terms: 17 + 4x = -30 + -48 + 5x + -16x Combine like terms: -30 + -48 = -78 17 + 4x = -78 + 5x + -16x Combine like terms: 5x + -16x = -11x 17 + 4x = -78 + -11x Solving 17 + 4x = -78 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 17 + 4x + 11x = -78 + -11x + 11x Combine like terms: 4x + 11x = 15x 17 + 15x = -78 + -11x + 11x Combine like terms: -11x + 11x = 0 17 + 15x = -78 + 0 17 + 15x = -78 Add '-17' to each side of the equation. 17 + -17 + 15x = -78 + -17 Combine like terms: 17 + -17 = 0 0 + 15x = -78 + -17 15x = -78 + -17 Combine like terms: -78 + -17 = -95 15x = -95 Divide each side by '15'. x = -6.333333333 Simplifying x = -6.333333333
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