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Simplifying -2.7x + 4(x + -1) = 10.5(2x + 6) + 31.5 Reorder the terms: -2.7x + 4(-1 + x) = 10.5(2x + 6) + 31.5 -2.7x + (-1 * 4 + x * 4) = 10.5(2x + 6) + 31.5 -2.7x + (-4 + 4x) = 10.5(2x + 6) + 31.5 Reorder the terms: -4 + -2.7x + 4x = 10.5(2x + 6) + 31.5 Combine like terms: -2.7x + 4x = 1.3x -4 + 1.3x = 10.5(2x + 6) + 31.5 Reorder the terms: -4 + 1.3x = 10.5(6 + 2x) + 31.5 -4 + 1.3x = (6 * 10.5 + 2x * 10.5) + 31.5 -4 + 1.3x = (63 + 21x) + 31.5 Reorder the terms: -4 + 1.3x = 63 + 31.5 + 21x Combine like terms: 63 + 31.5 = 94.5 -4 + 1.3x = 94.5 + 21x Solving -4 + 1.3x = 94.5 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -4 + 1.3x + -21x = 94.5 + 21x + -21x Combine like terms: 1.3x + -21x = -19.7x -4 + -19.7x = 94.5 + 21x + -21x Combine like terms: 21x + -21x = 0 -4 + -19.7x = 94.5 + 0 -4 + -19.7x = 94.5 Add '4' to each side of the equation. -4 + 4 + -19.7x = 94.5 + 4 Combine like terms: -4 + 4 = 0 0 + -19.7x = 94.5 + 4 -19.7x = 94.5 + 4 Combine like terms: 94.5 + 4 = 98.5 -19.7x = 98.5 Divide each side by '-19.7'. x = -5 Simplifying x = -5
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