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Simplifying 4(x + -2) + -3 = 2(x + 3) + -7 Reorder the terms: 4(-2 + x) + -3 = 2(x + 3) + -7 (-2 * 4 + x * 4) + -3 = 2(x + 3) + -7 (-8 + 4x) + -3 = 2(x + 3) + -7 Reorder the terms: -8 + -3 + 4x = 2(x + 3) + -7 Combine like terms: -8 + -3 = -11 -11 + 4x = 2(x + 3) + -7 Reorder the terms: -11 + 4x = 2(3 + x) + -7 -11 + 4x = (3 * 2 + x * 2) + -7 -11 + 4x = (6 + 2x) + -7 Reorder the terms: -11 + 4x = 6 + -7 + 2x Combine like terms: 6 + -7 = -1 -11 + 4x = -1 + 2x Solving -11 + 4x = -1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -11 + 4x + -2x = -1 + 2x + -2x Combine like terms: 4x + -2x = 2x -11 + 2x = -1 + 2x + -2x Combine like terms: 2x + -2x = 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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