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Simplifying 2(x + -7) + 3 = 7 + 4(x + -2) Reorder the terms: 2(-7 + x) + 3 = 7 + 4(x + -2) (-7 * 2 + x * 2) + 3 = 7 + 4(x + -2) (-14 + 2x) + 3 = 7 + 4(x + -2) Reorder the terms: -14 + 3 + 2x = 7 + 4(x + -2) Combine like terms: -14 + 3 = -11 -11 + 2x = 7 + 4(x + -2) Reorder the terms: -11 + 2x = 7 + 4(-2 + x) -11 + 2x = 7 + (-2 * 4 + x * 4) -11 + 2x = 7 + (-8 + 4x) Combine like terms: 7 + -8 = -1 -11 + 2x = -1 + 4x Solving -11 + 2x = -1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -11 + 2x + -4x = -1 + 4x + -4x Combine like terms: 2x + -4x = -2x -11 + -2x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 -11 + -2x = -1 + 0 -11 + -2x = -1 Add '11' to each side of the equation. -11 + 11 + -2x = -1 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = -1 + 11 -2x = -1 + 11 Combine like terms: -1 + 11 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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