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Simplifying 3(64 + -5x) = 3(7x) + -4(2x + 1) (64 * 3 + -5x * 3) = 3(7x) + -4(2x + 1) (192 + -15x) = 3(7x) + -4(2x + 1) Remove parenthesis around (7x) 192 + -15x = 3 * 7x + -4(2x + 1) Multiply 3 * 7 192 + -15x = 21x + -4(2x + 1) Reorder the terms: 192 + -15x = 21x + -4(1 + 2x) 192 + -15x = 21x + (1 * -4 + 2x * -4) 192 + -15x = 21x + (-4 + -8x) Reorder the terms: 192 + -15x = -4 + 21x + -8x Combine like terms: 21x + -8x = 13x 192 + -15x = -4 + 13x Solving 192 + -15x = -4 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 192 + -15x + -13x = -4 + 13x + -13x Combine like terms: -15x + -13x = -28x 192 + -28x = -4 + 13x + -13x Combine like terms: 13x + -13x = 0 192 + -28x = -4 + 0 192 + -28x = -4 Add '-192' to each side of the equation. 192 + -192 + -28x = -4 + -192 Combine like terms: 192 + -192 = 0 0 + -28x = -4 + -192 -28x = -4 + -192 Combine like terms: -4 + -192 = -196 -28x = -196 Divide each side by '-28'. x = 7 Simplifying x = 7
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