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Simplifying 8(x + -2) + -3(2x + 1) = 7x + -4 + -3(x + 1) Reorder the terms: 8(-2 + x) + -3(2x + 1) = 7x + -4 + -3(x + 1) (-2 * 8 + x * 8) + -3(2x + 1) = 7x + -4 + -3(x + 1) (-16 + 8x) + -3(2x + 1) = 7x + -4 + -3(x + 1) Reorder the terms: -16 + 8x + -3(1 + 2x) = 7x + -4 + -3(x + 1) -16 + 8x + (1 * -3 + 2x * -3) = 7x + -4 + -3(x + 1) -16 + 8x + (-3 + -6x) = 7x + -4 + -3(x + 1) Reorder the terms: -16 + -3 + 8x + -6x = 7x + -4 + -3(x + 1) Combine like terms: -16 + -3 = -19 -19 + 8x + -6x = 7x + -4 + -3(x + 1) Combine like terms: 8x + -6x = 2x -19 + 2x = 7x + -4 + -3(x + 1) Reorder the terms: -19 + 2x = 7x + -4 + -3(1 + x) -19 + 2x = 7x + -4 + (1 * -3 + x * -3) -19 + 2x = 7x + -4 + (-3 + -3x) Reorder the terms: -19 + 2x = -4 + -3 + 7x + -3x Combine like terms: -4 + -3 = -7 -19 + 2x = -7 + 7x + -3x Combine like terms: 7x + -3x = 4x -19 + 2x = -7 + 4x Solving -19 + 2x = -7 + 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. -19 + 2x + -4x = -7 + 4x + -4x Combine like terms: 2x + -4x = -2x -19 + -2x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 -19 + -2x = -7 + 0 -19 + -2x = -7 Add '19' to each side of the equation. -19 + 19 + -2x = -7 + 19 Combine like terms: -19 + 19 = 0 0 + -2x = -7 + 19 -2x = -7 + 19 Combine like terms: -7 + 19 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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