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Simplifying 3(2x + -5) + 2x = 7 + -4(2x + -3) Reorder the terms: 3(-5 + 2x) + 2x = 7 + -4(2x + -3) (-5 * 3 + 2x * 3) + 2x = 7 + -4(2x + -3) (-15 + 6x) + 2x = 7 + -4(2x + -3) Combine like terms: 6x + 2x = 8x -15 + 8x = 7 + -4(2x + -3) Reorder the terms: -15 + 8x = 7 + -4(-3 + 2x) -15 + 8x = 7 + (-3 * -4 + 2x * -4) -15 + 8x = 7 + (12 + -8x) Combine like terms: 7 + 12 = 19 -15 + 8x = 19 + -8x Solving -15 + 8x = 19 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -15 + 8x + 8x = 19 + -8x + 8x Combine like terms: 8x + 8x = 16x -15 + 16x = 19 + -8x + 8x Combine like terms: -8x + 8x = 0 -15 + 16x = 19 + 0 -15 + 16x = 19 Add '15' to each side of the equation. -15 + 15 + 16x = 19 + 15 Combine like terms: -15 + 15 = 0 0 + 16x = 19 + 15 16x = 19 + 15 Combine like terms: 19 + 15 = 34 16x = 34 Divide each side by '16'. x = 2.125 Simplifying x = 2.125
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