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Simplifying 5x + -4 = 7(x + -3) Reorder the terms: -4 + 5x = 7(x + -3) Reorder the terms: -4 + 5x = 7(-3 + x) -4 + 5x = (-3 * 7 + x * 7) -4 + 5x = (-21 + 7x) Solving -4 + 5x = -21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -4 + 5x + -7x = -21 + 7x + -7x Combine like terms: 5x + -7x = -2x -4 + -2x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -2x = -21 + 0 -4 + -2x = -21 Add '4' to each side of the equation. -4 + 4 + -2x = -21 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = -21 + 4 -2x = -21 + 4 Combine like terms: -21 + 4 = -17 -2x = -17 Divide each side by '-2'. x = 8.5 Simplifying x = 8.5
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