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Simplifying 3(x + -5) + 4 = 7(x + 3) Reorder the terms: 3(-5 + x) + 4 = 7(x + 3) (-5 * 3 + x * 3) + 4 = 7(x + 3) (-15 + 3x) + 4 = 7(x + 3) Reorder the terms: -15 + 4 + 3x = 7(x + 3) Combine like terms: -15 + 4 = -11 -11 + 3x = 7(x + 3) Reorder the terms: -11 + 3x = 7(3 + x) -11 + 3x = (3 * 7 + x * 7) -11 + 3x = (21 + 7x) Solving -11 + 3x = 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. -11 + 3x + -7x = 21 + 7x + -7x Combine like terms: 3x + -7x = -4x -11 + -4x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 -11 + -4x = 21 + 0 -11 + -4x = 21 Add '11' to each side of the equation. -11 + 11 + -4x = 21 + 11 Combine like terms: -11 + 11 = 0 0 + -4x = 21 + 11 -4x = 21 + 11 Combine like terms: 21 + 11 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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