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Simplifying 5(2x + -9) + 6x = 3(2x + -4) + 7 Reorder the terms: 5(-9 + 2x) + 6x = 3(2x + -4) + 7 (-9 * 5 + 2x * 5) + 6x = 3(2x + -4) + 7 (-45 + 10x) + 6x = 3(2x + -4) + 7 Combine like terms: 10x + 6x = 16x -45 + 16x = 3(2x + -4) + 7 Reorder the terms: -45 + 16x = 3(-4 + 2x) + 7 -45 + 16x = (-4 * 3 + 2x * 3) + 7 -45 + 16x = (-12 + 6x) + 7 Reorder the terms: -45 + 16x = -12 + 7 + 6x Combine like terms: -12 + 7 = -5 -45 + 16x = -5 + 6x Solving -45 + 16x = -5 + 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. -45 + 16x + -6x = -5 + 6x + -6x Combine like terms: 16x + -6x = 10x -45 + 10x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 -45 + 10x = -5 + 0 -45 + 10x = -5 Add '45' to each side of the equation. -45 + 45 + 10x = -5 + 45 Combine like terms: -45 + 45 = 0 0 + 10x = -5 + 45 10x = -5 + 45 Combine like terms: -5 + 45 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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