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Simplifying 10(x + 13) + -1(-9x) + -4 = x + -5 + 3 Reorder the terms: 10(13 + x) + -1(-9x) + -4 = x + -5 + 3 (13 * 10 + x * 10) + -1(-9x) + -4 = x + -5 + 3 (130 + 10x) + -1(-9x) + -4 = x + -5 + 3 Remove parenthesis around (-9x) 130 + 10x + -1 * -9x + -4 = x + -5 + 3 Multiply -1 * -9 130 + 10x + 9x + -4 = x + -5 + 3 Reorder the terms: 130 + -4 + 10x + 9x = x + -5 + 3 Combine like terms: 130 + -4 = 126 126 + 10x + 9x = x + -5 + 3 Combine like terms: 10x + 9x = 19x 126 + 19x = x + -5 + 3 Reorder the terms: 126 + 19x = -5 + 3 + x Combine like terms: -5 + 3 = -2 126 + 19x = -2 + x Solving 126 + 19x = -2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 126 + 19x + -1x = -2 + x + -1x Combine like terms: 19x + -1x = 18x 126 + 18x = -2 + x + -1x Combine like terms: x + -1x = 0 126 + 18x = -2 + 0 126 + 18x = -2 Add '-126' to each side of the equation. 126 + -126 + 18x = -2 + -126 Combine like terms: 126 + -126 = 0 0 + 18x = -2 + -126 18x = -2 + -126 Combine like terms: -2 + -126 = -128 18x = -128 Divide each side by '18'. x = -7.111111111 Simplifying x = -7.111111111
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