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Simplifying 3(3x + -10) = 27 + -4(x + 1) Reorder the terms: 3(-10 + 3x) = 27 + -4(x + 1) (-10 * 3 + 3x * 3) = 27 + -4(x + 1) (-30 + 9x) = 27 + -4(x + 1) Reorder the terms: -30 + 9x = 27 + -4(1 + x) -30 + 9x = 27 + (1 * -4 + x * -4) -30 + 9x = 27 + (-4 + -4x) Combine like terms: 27 + -4 = 23 -30 + 9x = 23 + -4x Solving -30 + 9x = 23 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -30 + 9x + 4x = 23 + -4x + 4x Combine like terms: 9x + 4x = 13x -30 + 13x = 23 + -4x + 4x Combine like terms: -4x + 4x = 0 -30 + 13x = 23 + 0 -30 + 13x = 23 Add '30' to each side of the equation. -30 + 30 + 13x = 23 + 30 Combine like terms: -30 + 30 = 0 0 + 13x = 23 + 30 13x = 23 + 30 Combine like terms: 23 + 30 = 53 13x = 53 Divide each side by '13'. x = 4.076923077 Simplifying x = 4.076923077
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