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Simplifying 189(x + -6) + 1 = 2(x + -10) + -3 Reorder the terms: 189(-6 + x) + 1 = 2(x + -10) + -3 (-6 * 189 + x * 189) + 1 = 2(x + -10) + -3 (-1134 + 189x) + 1 = 2(x + -10) + -3 Reorder the terms: -1134 + 1 + 189x = 2(x + -10) + -3 Combine like terms: -1134 + 1 = -1133 -1133 + 189x = 2(x + -10) + -3 Reorder the terms: -1133 + 189x = 2(-10 + x) + -3 -1133 + 189x = (-10 * 2 + x * 2) + -3 -1133 + 189x = (-20 + 2x) + -3 Reorder the terms: -1133 + 189x = -20 + -3 + 2x Combine like terms: -20 + -3 = -23 -1133 + 189x = -23 + 2x Solving -1133 + 189x = -23 + 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. -1133 + 189x + -2x = -23 + 2x + -2x Combine like terms: 189x + -2x = 187x -1133 + 187x = -23 + 2x + -2x Combine like terms: 2x + -2x = 0 -1133 + 187x = -23 + 0 -1133 + 187x = -23 Add '1133' to each side of the equation. -1133 + 1133 + 187x = -23 + 1133 Combine like terms: -1133 + 1133 = 0 0 + 187x = -23 + 1133 187x = -23 + 1133 Combine like terms: -23 + 1133 = 1110 187x = 1110 Divide each side by '187'. x = 5.935828877 Simplifying x = 5.935828877
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