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Simplifying 3x + -7 = -3 + -1(x + 12) Reorder the terms: -7 + 3x = -3 + -1(x + 12) Reorder the terms: -7 + 3x = -3 + -1(12 + x) -7 + 3x = -3 + (12 * -1 + x * -1) -7 + 3x = -3 + (-12 + -1x) Combine like terms: -3 + -12 = -15 -7 + 3x = -15 + -1x Solving -7 + 3x = -15 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -7 + 3x + x = -15 + -1x + x Combine like terms: 3x + x = 4x -7 + 4x = -15 + -1x + x Combine like terms: -1x + x = 0 -7 + 4x = -15 + 0 -7 + 4x = -15 Add '7' to each side of the equation. -7 + 7 + 4x = -15 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = -15 + 7 4x = -15 + 7 Combine like terms: -15 + 7 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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