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Simplifying 3(x + -2) + -7 = 3 + -1(x + 4) Reorder the terms: 3(-2 + x) + -7 = 3 + -1(x + 4) (-2 * 3 + x * 3) + -7 = 3 + -1(x + 4) (-6 + 3x) + -7 = 3 + -1(x + 4) Reorder the terms: -6 + -7 + 3x = 3 + -1(x + 4) Combine like terms: -6 + -7 = -13 -13 + 3x = 3 + -1(x + 4) Reorder the terms: -13 + 3x = 3 + -1(4 + x) -13 + 3x = 3 + (4 * -1 + x * -1) -13 + 3x = 3 + (-4 + -1x) Combine like terms: 3 + -4 = -1 -13 + 3x = -1 + -1x Solving -13 + 3x = -1 + -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. -13 + 3x + x = -1 + -1x + x Combine like terms: 3x + x = 4x -13 + 4x = -1 + -1x + x Combine like terms: -1x + x = 0 -13 + 4x = -1 + 0 -13 + 4x = -1 Add '13' to each side of the equation. -13 + 13 + 4x = -1 + 13 Combine like terms: -13 + 13 = 0 0 + 4x = -1 + 13 4x = -1 + 13 Combine like terms: -1 + 13 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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