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Simplifying 6x(3x + -5) + 141 = 2x(9x + 1) + 13 Reorder the terms: 6x(-5 + 3x) + 141 = 2x(9x + 1) + 13 (-5 * 6x + 3x * 6x) + 141 = 2x(9x + 1) + 13 (-30x + 18x2) + 141 = 2x(9x + 1) + 13 Reorder the terms: 141 + -30x + 18x2 = 2x(9x + 1) + 13 Reorder the terms: 141 + -30x + 18x2 = 2x(1 + 9x) + 13 141 + -30x + 18x2 = (1 * 2x + 9x * 2x) + 13 141 + -30x + 18x2 = (2x + 18x2) + 13 Reorder the terms: 141 + -30x + 18x2 = 13 + 2x + 18x2 Add '-18x2' to each side of the equation. 141 + -30x + 18x2 + -18x2 = 13 + 2x + 18x2 + -18x2 Combine like terms: 18x2 + -18x2 = 0 141 + -30x + 0 = 13 + 2x + 18x2 + -18x2 141 + -30x = 13 + 2x + 18x2 + -18x2 Combine like terms: 18x2 + -18x2 = 0 141 + -30x = 13 + 2x + 0 141 + -30x = 13 + 2x Solving 141 + -30x = 13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 141 + -30x + -2x = 13 + 2x + -2x Combine like terms: -30x + -2x = -32x 141 + -32x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 141 + -32x = 13 + 0 141 + -32x = 13 Add '-141' to each side of the equation. 141 + -141 + -32x = 13 + -141 Combine like terms: 141 + -141 = 0 0 + -32x = 13 + -141 -32x = 13 + -141 Combine like terms: 13 + -141 = -128 -32x = -128 Divide each side by '-32'. x = 4 Simplifying x = 4
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