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Simplifying 7 + -7x + -3(x + 4) = -4(x + 2) + -4x Reorder the terms: 7 + -7x + -3(4 + x) = -4(x + 2) + -4x 7 + -7x + (4 * -3 + x * -3) = -4(x + 2) + -4x 7 + -7x + (-12 + -3x) = -4(x + 2) + -4x Reorder the terms: 7 + -12 + -7x + -3x = -4(x + 2) + -4x Combine like terms: 7 + -12 = -5 -5 + -7x + -3x = -4(x + 2) + -4x Combine like terms: -7x + -3x = -10x -5 + -10x = -4(x + 2) + -4x Reorder the terms: -5 + -10x = -4(2 + x) + -4x -5 + -10x = (2 * -4 + x * -4) + -4x -5 + -10x = (-8 + -4x) + -4x Combine like terms: -4x + -4x = -8x -5 + -10x = -8 + -8x Solving -5 + -10x = -8 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -5 + -10x + 8x = -8 + -8x + 8x Combine like terms: -10x + 8x = -2x -5 + -2x = -8 + -8x + 8x Combine like terms: -8x + 8x = 0 -5 + -2x = -8 + 0 -5 + -2x = -8 Add '5' to each side of the equation. -5 + 5 + -2x = -8 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = -8 + 5 -2x = -8 + 5 Combine like terms: -8 + 5 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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