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Simplifying 4x + 3(x + -5) = -7 + 2(8x + -7) Reorder the terms: 4x + 3(-5 + x) = -7 + 2(8x + -7) 4x + (-5 * 3 + x * 3) = -7 + 2(8x + -7) 4x + (-15 + 3x) = -7 + 2(8x + -7) Reorder the terms: -15 + 4x + 3x = -7 + 2(8x + -7) Combine like terms: 4x + 3x = 7x -15 + 7x = -7 + 2(8x + -7) Reorder the terms: -15 + 7x = -7 + 2(-7 + 8x) -15 + 7x = -7 + (-7 * 2 + 8x * 2) -15 + 7x = -7 + (-14 + 16x) Combine like terms: -7 + -14 = -21 -15 + 7x = -21 + 16x Solving -15 + 7x = -21 + 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. -15 + 7x + -16x = -21 + 16x + -16x Combine like terms: 7x + -16x = -9x -15 + -9x = -21 + 16x + -16x Combine like terms: 16x + -16x = 0 -15 + -9x = -21 + 0 -15 + -9x = -21 Add '15' to each side of the equation. -15 + 15 + -9x = -21 + 15 Combine like terms: -15 + 15 = 0 0 + -9x = -21 + 15 -9x = -21 + 15 Combine like terms: -21 + 15 = -6 -9x = -6 Divide each side by '-9'. x = 0.6666666667 Simplifying x = 0.6666666667
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