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Simplifying 7(x + -2) + 3x = -4x + 6 + 6x Reorder the terms: 7(-2 + x) + 3x = -4x + 6 + 6x (-2 * 7 + x * 7) + 3x = -4x + 6 + 6x (-14 + 7x) + 3x = -4x + 6 + 6x Combine like terms: 7x + 3x = 10x -14 + 10x = -4x + 6 + 6x Reorder the terms: -14 + 10x = 6 + -4x + 6x Combine like terms: -4x + 6x = 2x -14 + 10x = 6 + 2x Solving -14 + 10x = 6 + 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. -14 + 10x + -2x = 6 + 2x + -2x Combine like terms: 10x + -2x = 8x -14 + 8x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 8x = 6 + 0 -14 + 8x = 6 Add '14' to each side of the equation. -14 + 14 + 8x = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 8x = 6 + 14 8x = 6 + 14 Combine like terms: 6 + 14 = 20 8x = 20 Divide each side by '8'. x = 2.5 Simplifying x = 2.5
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