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Simplifying 7(x + -4) + -2x = 4(x + -3) Reorder the terms: 7(-4 + x) + -2x = 4(x + -3) (-4 * 7 + x * 7) + -2x = 4(x + -3) (-28 + 7x) + -2x = 4(x + -3) Combine like terms: 7x + -2x = 5x -28 + 5x = 4(x + -3) Reorder the terms: -28 + 5x = 4(-3 + x) -28 + 5x = (-3 * 4 + x * 4) -28 + 5x = (-12 + 4x) Solving -28 + 5x = -12 + 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. -28 + 5x + -4x = -12 + 4x + -4x Combine like terms: 5x + -4x = 1x -28 + 1x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 -28 + 1x = -12 + 0 -28 + 1x = -12 Add '28' to each side of the equation. -28 + 28 + 1x = -12 + 28 Combine like terms: -28 + 28 = 0 0 + 1x = -12 + 28 1x = -12 + 28 Combine like terms: -12 + 28 = 16 1x = 16 Divide each side by '1'. x = 16 Simplifying x = 16
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