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Simplifying -5(2x + -7) + 4 = 4 + -3(x + 4) Reorder the terms: -5(-7 + 2x) + 4 = 4 + -3(x + 4) (-7 * -5 + 2x * -5) + 4 = 4 + -3(x + 4) (35 + -10x) + 4 = 4 + -3(x + 4) Reorder the terms: 35 + 4 + -10x = 4 + -3(x + 4) Combine like terms: 35 + 4 = 39 39 + -10x = 4 + -3(x + 4) Reorder the terms: 39 + -10x = 4 + -3(4 + x) 39 + -10x = 4 + (4 * -3 + x * -3) 39 + -10x = 4 + (-12 + -3x) Combine like terms: 4 + -12 = -8 39 + -10x = -8 + -3x Solving 39 + -10x = -8 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 39 + -10x + 3x = -8 + -3x + 3x Combine like terms: -10x + 3x = -7x 39 + -7x = -8 + -3x + 3x Combine like terms: -3x + 3x = 0 39 + -7x = -8 + 0 39 + -7x = -8 Add '-39' to each side of the equation. 39 + -39 + -7x = -8 + -39 Combine like terms: 39 + -39 = 0 0 + -7x = -8 + -39 -7x = -8 + -39 Combine like terms: -8 + -39 = -47 -7x = -47 Divide each side by '-7'. x = 6.714285714 Simplifying x = 6.714285714
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