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Simplifying 2x + -3(x + 4) = 7x + 1 Reorder the terms: 2x + -3(4 + x) = 7x + 1 2x + (4 * -3 + x * -3) = 7x + 1 2x + (-12 + -3x) = 7x + 1 Reorder the terms: -12 + 2x + -3x = 7x + 1 Combine like terms: 2x + -3x = -1x -12 + -1x = 7x + 1 Reorder the terms: -12 + -1x = 1 + 7x Solving -12 + -1x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -12 + -1x + -7x = 1 + 7x + -7x Combine like terms: -1x + -7x = -8x -12 + -8x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + -8x = 1 + 0 -12 + -8x = 1 Add '12' to each side of the equation. -12 + 12 + -8x = 1 + 12 Combine like terms: -12 + 12 = 0 0 + -8x = 1 + 12 -8x = 1 + 12 Combine like terms: 1 + 12 = 13 -8x = 13 Divide each side by '-8'. x = -1.625 Simplifying x = -1.625
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