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Simplifying -1(1 + 7x) = -6(-7 + -1x) * 36 (1 * -1 + 7x * -1) = -6(-7 + -1x) * 36 (-1 + -7x) = -6(-7 + -1x) * 36 Reorder the terms for easier multiplication: -1 + -7x = -6 * 36(-7 + -1x) Multiply -6 * 36 -1 + -7x = -216(-7 + -1x) -1 + -7x = (-7 * -216 + -1x * -216) -1 + -7x = (1512 + 216x) Solving -1 + -7x = 1512 + 216x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-216x' to each side of the equation. -1 + -7x + -216x = 1512 + 216x + -216x Combine like terms: -7x + -216x = -223x -1 + -223x = 1512 + 216x + -216x Combine like terms: 216x + -216x = 0 -1 + -223x = 1512 + 0 -1 + -223x = 1512 Add '1' to each side of the equation. -1 + 1 + -223x = 1512 + 1 Combine like terms: -1 + 1 = 0 0 + -223x = 1512 + 1 -223x = 1512 + 1 Combine like terms: 1512 + 1 = 1513 -223x = 1513 Divide each side by '-223'. x = -6.784753363 Simplifying x = -6.784753363
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