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Simplifying 3x + -5 + 6x + 63 = 5 + -7x + 4 + -12 Reorder the terms: -5 + 63 + 3x + 6x = 5 + -7x + 4 + -12 Combine like terms: -5 + 63 = 58 58 + 3x + 6x = 5 + -7x + 4 + -12 Combine like terms: 3x + 6x = 9x 58 + 9x = 5 + -7x + 4 + -12 Reorder the terms: 58 + 9x = 5 + 4 + -12 + -7x Combine like terms: 5 + 4 = 9 58 + 9x = 9 + -12 + -7x Combine like terms: 9 + -12 = -3 58 + 9x = -3 + -7x Solving 58 + 9x = -3 + -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. 58 + 9x + 7x = -3 + -7x + 7x Combine like terms: 9x + 7x = 16x 58 + 16x = -3 + -7x + 7x Combine like terms: -7x + 7x = 0 58 + 16x = -3 + 0 58 + 16x = -3 Add '-58' to each side of the equation. 58 + -58 + 16x = -3 + -58 Combine like terms: 58 + -58 = 0 0 + 16x = -3 + -58 16x = -3 + -58 Combine like terms: -3 + -58 = -61 16x = -61 Divide each side by '16'. x = -3.8125 Simplifying x = -3.8125
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