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Simplifying x + -3(x + 7) = 4(x + -3) + 15 Reorder the terms: x + -3(7 + x) = 4(x + -3) + 15 x + (7 * -3 + x * -3) = 4(x + -3) + 15 x + (-21 + -3x) = 4(x + -3) + 15 Reorder the terms: -21 + x + -3x = 4(x + -3) + 15 Combine like terms: x + -3x = -2x -21 + -2x = 4(x + -3) + 15 Reorder the terms: -21 + -2x = 4(-3 + x) + 15 -21 + -2x = (-3 * 4 + x * 4) + 15 -21 + -2x = (-12 + 4x) + 15 Reorder the terms: -21 + -2x = -12 + 15 + 4x Combine like terms: -12 + 15 = 3 -21 + -2x = 3 + 4x Solving -21 + -2x = 3 + 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. -21 + -2x + -4x = 3 + 4x + -4x Combine like terms: -2x + -4x = -6x -21 + -6x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 -21 + -6x = 3 + 0 -21 + -6x = 3 Add '21' to each side of the equation. -21 + 21 + -6x = 3 + 21 Combine like terms: -21 + 21 = 0 0 + -6x = 3 + 21 -6x = 3 + 21 Combine like terms: 3 + 21 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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