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Simplifying 4x + -45 = 7(x + -9) Reorder the terms: -45 + 4x = 7(x + -9) Reorder the terms: -45 + 4x = 7(-9 + x) -45 + 4x = (-9 * 7 + x * 7) -45 + 4x = (-63 + 7x) Solving -45 + 4x = -63 + 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. -45 + 4x + -7x = -63 + 7x + -7x Combine like terms: 4x + -7x = -3x -45 + -3x = -63 + 7x + -7x Combine like terms: 7x + -7x = 0 -45 + -3x = -63 + 0 -45 + -3x = -63 Add '45' to each side of the equation. -45 + 45 + -3x = -63 + 45 Combine like terms: -45 + 45 = 0 0 + -3x = -63 + 45 -3x = -63 + 45 Combine like terms: -63 + 45 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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