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Simplifying 7x + 8 + -3x = 4 + 3x + -10 + 3x Reorder the terms: 8 + 7x + -3x = 4 + 3x + -10 + 3x Combine like terms: 7x + -3x = 4x 8 + 4x = 4 + 3x + -10 + 3x Reorder the terms: 8 + 4x = 4 + -10 + 3x + 3x Combine like terms: 4 + -10 = -6 8 + 4x = -6 + 3x + 3x Combine like terms: 3x + 3x = 6x 8 + 4x = -6 + 6x Solving 8 + 4x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + 4x + -6x = -6 + 6x + -6x Combine like terms: 4x + -6x = -2x 8 + -2x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -2x = -6 + 0 8 + -2x = -6 Add '-8' to each side of the equation. 8 + -8 + -2x = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -6 + -8 -2x = -6 + -8 Combine like terms: -6 + -8 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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