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Simplifying x + -4(x + -3) = 4(x + 7) Reorder the terms: x + -4(-3 + x) = 4(x + 7) x + (-3 * -4 + x * -4) = 4(x + 7) x + (12 + -4x) = 4(x + 7) Reorder the terms: 12 + x + -4x = 4(x + 7) Combine like terms: x + -4x = -3x 12 + -3x = 4(x + 7) Reorder the terms: 12 + -3x = 4(7 + x) 12 + -3x = (7 * 4 + x * 4) 12 + -3x = (28 + 4x) Solving 12 + -3x = 28 + 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. 12 + -3x + -4x = 28 + 4x + -4x Combine like terms: -3x + -4x = -7x 12 + -7x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -7x = 28 + 0 12 + -7x = 28 Add '-12' to each side of the equation. 12 + -12 + -7x = 28 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = 28 + -12 -7x = 28 + -12 Combine like terms: 28 + -12 = 16 -7x = 16 Divide each side by '-7'. x = -2.285714286 Simplifying x = -2.285714286
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