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Simplifying 4(x + -2) + 7 = -1(x + 3) * 13 Reorder the terms: 4(-2 + x) + 7 = -1(x + 3) * 13 (-2 * 4 + x * 4) + 7 = -1(x + 3) * 13 (-8 + 4x) + 7 = -1(x + 3) * 13 Reorder the terms: -8 + 7 + 4x = -1(x + 3) * 13 Combine like terms: -8 + 7 = -1 -1 + 4x = -1(x + 3) * 13 Reorder the terms: -1 + 4x = -1(3 + x) * 13 Reorder the terms for easier multiplication: -1 + 4x = -1 * 13(3 + x) Multiply -1 * 13 -1 + 4x = -13(3 + x) -1 + 4x = (3 * -13 + x * -13) -1 + 4x = (-39 + -13x) Solving -1 + 4x = -39 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -1 + 4x + 13x = -39 + -13x + 13x Combine like terms: 4x + 13x = 17x -1 + 17x = -39 + -13x + 13x Combine like terms: -13x + 13x = 0 -1 + 17x = -39 + 0 -1 + 17x = -39 Add '1' to each side of the equation. -1 + 1 + 17x = -39 + 1 Combine like terms: -1 + 1 = 0 0 + 17x = -39 + 1 17x = -39 + 1 Combine like terms: -39 + 1 = -38 17x = -38 Divide each side by '17'. x = -2.235294118 Simplifying x = -2.235294118
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