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Simplifying 10x + 4(x + -2) = 12x + 7(x + 3) Reorder the terms: 10x + 4(-2 + x) = 12x + 7(x + 3) 10x + (-2 * 4 + x * 4) = 12x + 7(x + 3) 10x + (-8 + 4x) = 12x + 7(x + 3) Reorder the terms: -8 + 10x + 4x = 12x + 7(x + 3) Combine like terms: 10x + 4x = 14x -8 + 14x = 12x + 7(x + 3) Reorder the terms: -8 + 14x = 12x + 7(3 + x) -8 + 14x = 12x + (3 * 7 + x * 7) -8 + 14x = 12x + (21 + 7x) Reorder the terms: -8 + 14x = 21 + 12x + 7x Combine like terms: 12x + 7x = 19x -8 + 14x = 21 + 19x Solving -8 + 14x = 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 + 14x + -19x = 21 + 19x + -19x Combine like terms: 14x + -19x = -5x -8 + -5x = 21 + 19x + -19x Combine like terms: 19x + -19x = 0 -8 + -5x = 21 + 0 -8 + -5x = 21 Add '8' to each side of the equation. -8 + 8 + -5x = 21 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = 21 + 8 -5x = 21 + 8 Combine like terms: 21 + 8 = 29 -5x = 29 Divide each side by '-5'. x = -5.8 Simplifying x = -5.8
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