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Simplifying 4(x + -3) + x = 7x Reorder the terms: 4(-3 + x) + x = 7x (-3 * 4 + x * 4) + x = 7x (-12 + 4x) + x = 7x Combine like terms: 4x + x = 5x -12 + 5x = 7x Solving -12 + 5x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -12 + 5x + -7x = 7x + -7x Combine like terms: 5x + -7x = -2x -12 + -2x = 7x + -7x Combine like terms: 7x + -7x = 0 -12 + -2x = 0 Add '12' to each side of the equation. -12 + 12 + -2x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 0 + 12 -2x = 0 + 12 Combine like terms: 0 + 12 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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