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Simplifying 4(4x + -8) + -5 = (x + -3) + 35 Reorder the terms: 4(-8 + 4x) + -5 = (x + -3) + 35 (-8 * 4 + 4x * 4) + -5 = (x + -3) + 35 (-32 + 16x) + -5 = (x + -3) + 35 Reorder the terms: -32 + -5 + 16x = (x + -3) + 35 Combine like terms: -32 + -5 = -37 -37 + 16x = (x + -3) + 35 Reorder the terms: -37 + 16x = (-3 + x) + 35 Remove parenthesis around (-3 + x) -37 + 16x = -3 + x + 35 Reorder the terms: -37 + 16x = -3 + 35 + x Combine like terms: -3 + 35 = 32 -37 + 16x = 32 + x Solving -37 + 16x = 32 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -37 + 16x + -1x = 32 + x + -1x Combine like terms: 16x + -1x = 15x -37 + 15x = 32 + x + -1x Combine like terms: x + -1x = 0 -37 + 15x = 32 + 0 -37 + 15x = 32 Add '37' to each side of the equation. -37 + 37 + 15x = 32 + 37 Combine like terms: -37 + 37 = 0 0 + 15x = 32 + 37 15x = 32 + 37 Combine like terms: 32 + 37 = 69 15x = 69 Divide each side by '15'. x = 4.6 Simplifying x = 4.6
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