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Simplifying 5x + -7 = 3(2x + -4) Reorder the terms: -7 + 5x = 3(2x + -4) Reorder the terms: -7 + 5x = 3(-4 + 2x) -7 + 5x = (-4 * 3 + 2x * 3) -7 + 5x = (-12 + 6x) Solving -7 + 5x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -7 + 5x + -6x = -12 + 6x + -6x Combine like terms: 5x + -6x = -1x -7 + -1x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -1x = -12 + 0 -7 + -1x = -12 Add '7' to each side of the equation. -7 + 7 + -1x = -12 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = -12 + 7 -1x = -12 + 7 Combine like terms: -12 + 7 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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