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Simplifying 10x + -4x + 8 = 12x + 7x + 21 Reorder the terms: 8 + 10x + -4x = 12x + 7x + 21 Combine like terms: 10x + -4x = 6x 8 + 6x = 12x + 7x + 21 Reorder the terms: 8 + 6x = 21 + 12x + 7x Combine like terms: 12x + 7x = 19x 8 + 6x = 21 + 19x Solving 8 + 6x = 21 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 8 + 6x + -19x = 21 + 19x + -19x Combine like terms: 6x + -19x = -13x 8 + -13x = 21 + 19x + -19x Combine like terms: 19x + -19x = 0 8 + -13x = 21 + 0 8 + -13x = 21 Add '-8' to each side of the equation. 8 + -8 + -13x = 21 + -8 Combine like terms: 8 + -8 = 0 0 + -13x = 21 + -8 -13x = 21 + -8 Combine like terms: 21 + -8 = 13 -13x = 13 Divide each side by '-13'. x = -1 Simplifying x = -1
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