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Simplifying 3x + -7 = 5x + 3(x + -4) Reorder the terms: -7 + 3x = 5x + 3(x + -4) Reorder the terms: -7 + 3x = 5x + 3(-4 + x) -7 + 3x = 5x + (-4 * 3 + x * 3) -7 + 3x = 5x + (-12 + 3x) Reorder the terms: -7 + 3x = -12 + 5x + 3x Combine like terms: 5x + 3x = 8x -7 + 3x = -12 + 8x Solving -7 + 3x = -12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -7 + 3x + -8x = -12 + 8x + -8x Combine like terms: 3x + -8x = -5x -7 + -5x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + -5x = -12 + 0 -7 + -5x = -12 Add '7' to each side of the equation. -7 + 7 + -5x = -12 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = -12 + 7 -5x = -12 + 7 Combine like terms: -12 + 7 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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