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Simplifying -10 + 3x + 4(x + -10) + 2(x + 1) = 30x Reorder the terms: -10 + 3x + 4(-10 + x) + 2(x + 1) = 30x -10 + 3x + (-10 * 4 + x * 4) + 2(x + 1) = 30x -10 + 3x + (-40 + 4x) + 2(x + 1) = 30x Reorder the terms: -10 + 3x + -40 + 4x + 2(1 + x) = 30x -10 + 3x + -40 + 4x + (1 * 2 + x * 2) = 30x -10 + 3x + -40 + 4x + (2 + 2x) = 30x Reorder the terms: -10 + -40 + 2 + 3x + 4x + 2x = 30x Combine like terms: -10 + -40 = -50 -50 + 2 + 3x + 4x + 2x = 30x Combine like terms: -50 + 2 = -48 -48 + 3x + 4x + 2x = 30x Combine like terms: 3x + 4x = 7x -48 + 7x + 2x = 30x Combine like terms: 7x + 2x = 9x -48 + 9x = 30x Solving -48 + 9x = 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -48 + 9x + -30x = 30x + -30x Combine like terms: 9x + -30x = -21x -48 + -21x = 30x + -30x Combine like terms: 30x + -30x = 0 -48 + -21x = 0 Add '48' to each side of the equation. -48 + 48 + -21x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -21x = 0 + 48 -21x = 0 + 48 Combine like terms: 0 + 48 = 48 -21x = 48 Divide each side by '-21'. x = -2.285714286 Simplifying x = -2.285714286
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