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Simplifying 3(5x + -7) = 2(8x + -11) Reorder the terms: 3(-7 + 5x) = 2(8x + -11) (-7 * 3 + 5x * 3) = 2(8x + -11) (-21 + 15x) = 2(8x + -11) Reorder the terms: -21 + 15x = 2(-11 + 8x) -21 + 15x = (-11 * 2 + 8x * 2) -21 + 15x = (-22 + 16x) Solving -21 + 15x = -22 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -21 + 15x + -16x = -22 + 16x + -16x Combine like terms: 15x + -16x = -1x -21 + -1x = -22 + 16x + -16x Combine like terms: 16x + -16x = 0 -21 + -1x = -22 + 0 -21 + -1x = -22 Add '21' to each side of the equation. -21 + 21 + -1x = -22 + 21 Combine like terms: -21 + 21 = 0 0 + -1x = -22 + 21 -1x = -22 + 21 Combine like terms: -22 + 21 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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