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Simplifying -16 + 7x = 3x + 7(x + -4) Reorder the terms: -16 + 7x = 3x + 7(-4 + x) -16 + 7x = 3x + (-4 * 7 + x * 7) -16 + 7x = 3x + (-28 + 7x) Reorder the terms: -16 + 7x = -28 + 3x + 7x Combine like terms: 3x + 7x = 10x -16 + 7x = -28 + 10x Solving -16 + 7x = -28 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -16 + 7x + -10x = -28 + 10x + -10x Combine like terms: 7x + -10x = -3x -16 + -3x = -28 + 10x + -10x Combine like terms: 10x + -10x = 0 -16 + -3x = -28 + 0 -16 + -3x = -28 Add '16' to each side of the equation. -16 + 16 + -3x = -28 + 16 Combine like terms: -16 + 16 = 0 0 + -3x = -28 + 16 -3x = -28 + 16 Combine like terms: -28 + 16 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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