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Simplifying 7x + -3(x + 4) = 5 + -6x Reorder the terms: 7x + -3(4 + x) = 5 + -6x 7x + (4 * -3 + x * -3) = 5 + -6x 7x + (-12 + -3x) = 5 + -6x Reorder the terms: -12 + 7x + -3x = 5 + -6x Combine like terms: 7x + -3x = 4x -12 + 4x = 5 + -6x Solving -12 + 4x = 5 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -12 + 4x + 6x = 5 + -6x + 6x Combine like terms: 4x + 6x = 10x -12 + 10x = 5 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 10x = 5 + 0 -12 + 10x = 5 Add '12' to each side of the equation. -12 + 12 + 10x = 5 + 12 Combine like terms: -12 + 12 = 0 0 + 10x = 5 + 12 10x = 5 + 12 Combine like terms: 5 + 12 = 17 10x = 17 Divide each side by '10'. x = 1.7 Simplifying x = 1.7
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