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Simplifying 12 + -3x = 10x + -45 Reorder the terms: 12 + -3x = -45 + 10x Solving 12 + -3x = -45 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + -3x + -10x = -45 + 10x + -10x Combine like terms: -3x + -10x = -13x 12 + -13x = -45 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -13x = -45 + 0 12 + -13x = -45 Add '-12' to each side of the equation. 12 + -12 + -13x = -45 + -12 Combine like terms: 12 + -12 = 0 0 + -13x = -45 + -12 -13x = -45 + -12 Combine like terms: -45 + -12 = -57 -13x = -57 Divide each side by '-13'. x = 4.384615385 Simplifying x = 4.384615385
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