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Simplifying 3x + -5x + 10 = 3(4x + -2) + 9 Reorder the terms: 10 + 3x + -5x = 3(4x + -2) + 9 Combine like terms: 3x + -5x = -2x 10 + -2x = 3(4x + -2) + 9 Reorder the terms: 10 + -2x = 3(-2 + 4x) + 9 10 + -2x = (-2 * 3 + 4x * 3) + 9 10 + -2x = (-6 + 12x) + 9 Reorder the terms: 10 + -2x = -6 + 9 + 12x Combine like terms: -6 + 9 = 3 10 + -2x = 3 + 12x Solving 10 + -2x = 3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 10 + -2x + -12x = 3 + 12x + -12x Combine like terms: -2x + -12x = -14x 10 + -14x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + -14x = 3 + 0 10 + -14x = 3 Add '-10' to each side of the equation. 10 + -10 + -14x = 3 + -10 Combine like terms: 10 + -10 = 0 0 + -14x = 3 + -10 -14x = 3 + -10 Combine like terms: 3 + -10 = -7 -14x = -7 Divide each side by '-14'. x = 0.5 Simplifying x = 0.5
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