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Simplifying 6 + -6(8x + 7) + 7(7 + -1x) + -1(-4x) = 0 Reorder the terms: 6 + -6(7 + 8x) + 7(7 + -1x) + -1(-4x) = 0 6 + (7 * -6 + 8x * -6) + 7(7 + -1x) + -1(-4x) = 0 6 + (-42 + -48x) + 7(7 + -1x) + -1(-4x) = 0 6 + -42 + -48x + (7 * 7 + -1x * 7) + -1(-4x) = 0 6 + -42 + -48x + (49 + -7x) + -1(-4x) = 0 Remove parenthesis around (-4x) 6 + -42 + -48x + 49 + -7x + -1 * -4x = 0 Multiply -1 * -4 6 + -42 + -48x + 49 + -7x + 4x = 0 Reorder the terms: 6 + -42 + 49 + -48x + -7x + 4x = 0 Combine like terms: 6 + -42 = -36 -36 + 49 + -48x + -7x + 4x = 0 Combine like terms: -36 + 49 = 13 13 + -48x + -7x + 4x = 0 Combine like terms: -48x + -7x = -55x 13 + -55x + 4x = 0 Combine like terms: -55x + 4x = -51x 13 + -51x = 0 Solving 13 + -51x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -51x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -51x = 0 + -13 -51x = 0 + -13 Combine like terms: 0 + -13 = -13 -51x = -13 Divide each side by '-51'. x = 0.2549019608 Simplifying x = 0.2549019608
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