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Simplifying x + -64 = 8(2x + 3) + -13 Reorder the terms: -64 + x = 8(2x + 3) + -13 Reorder the terms: -64 + x = 8(3 + 2x) + -13 -64 + x = (3 * 8 + 2x * 8) + -13 -64 + x = (24 + 16x) + -13 Reorder the terms: -64 + x = 24 + -13 + 16x Combine like terms: 24 + -13 = 11 -64 + x = 11 + 16x Solving -64 + x = 11 + 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. -64 + x + -16x = 11 + 16x + -16x Combine like terms: x + -16x = -15x -64 + -15x = 11 + 16x + -16x Combine like terms: 16x + -16x = 0 -64 + -15x = 11 + 0 -64 + -15x = 11 Add '64' to each side of the equation. -64 + 64 + -15x = 11 + 64 Combine like terms: -64 + 64 = 0 0 + -15x = 11 + 64 -15x = 11 + 64 Combine like terms: 11 + 64 = 75 -15x = 75 Divide each side by '-15'. x = -5 Simplifying x = -5
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