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Simplifying 4(x + -7) + 2 = 15x + -4 Reorder the terms: 4(-7 + x) + 2 = 15x + -4 (-7 * 4 + x * 4) + 2 = 15x + -4 (-28 + 4x) + 2 = 15x + -4 Reorder the terms: -28 + 2 + 4x = 15x + -4 Combine like terms: -28 + 2 = -26 -26 + 4x = 15x + -4 Reorder the terms: -26 + 4x = -4 + 15x Solving -26 + 4x = -4 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -26 + 4x + -15x = -4 + 15x + -15x Combine like terms: 4x + -15x = -11x -26 + -11x = -4 + 15x + -15x Combine like terms: 15x + -15x = 0 -26 + -11x = -4 + 0 -26 + -11x = -4 Add '26' to each side of the equation. -26 + 26 + -11x = -4 + 26 Combine like terms: -26 + 26 = 0 0 + -11x = -4 + 26 -11x = -4 + 26 Combine like terms: -4 + 26 = 22 -11x = 22 Divide each side by '-11'. x = -2 Simplifying x = -2
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