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Simplifying 4(x + -7) + -2(x + 3) = -15x Reorder the terms: 4(-7 + x) + -2(x + 3) = -15x (-7 * 4 + x * 4) + -2(x + 3) = -15x (-28 + 4x) + -2(x + 3) = -15x Reorder the terms: -28 + 4x + -2(3 + x) = -15x -28 + 4x + (3 * -2 + x * -2) = -15x -28 + 4x + (-6 + -2x) = -15x Reorder the terms: -28 + -6 + 4x + -2x = -15x Combine like terms: -28 + -6 = -34 -34 + 4x + -2x = -15x Combine like terms: 4x + -2x = 2x -34 + 2x = -15x Solving -34 + 2x = -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. -34 + 2x + 15x = -15x + 15x Combine like terms: 2x + 15x = 17x -34 + 17x = -15x + 15x Combine like terms: -15x + 15x = 0 -34 + 17x = 0 Add '34' to each side of the equation. -34 + 34 + 17x = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 17x = 0 + 34 17x = 0 + 34 Combine like terms: 0 + 34 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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