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Simplifying 10 + 4x + -3x = 5 + -2x + 7 + 4x Combine like terms: 4x + -3x = 1x 10 + 1x = 5 + -2x + 7 + 4x Reorder the terms: 10 + 1x = 5 + 7 + -2x + 4x Combine like terms: 5 + 7 = 12 10 + 1x = 12 + -2x + 4x Combine like terms: -2x + 4x = 2x 10 + 1x = 12 + 2x Solving 10 + 1x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 10 + 1x + -2x = 12 + 2x + -2x Combine like terms: 1x + -2x = -1x 10 + -1x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + -1x = 12 + 0 10 + -1x = 12 Add '-10' to each side of the equation. 10 + -10 + -1x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 12 + -10 -1x = 12 + -10 Combine like terms: 12 + -10 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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