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Simplifying 7x + -8(x + 1) = 4(x + 3) + -3x Reorder the terms: 7x + -8(1 + x) = 4(x + 3) + -3x 7x + (1 * -8 + x * -8) = 4(x + 3) + -3x 7x + (-8 + -8x) = 4(x + 3) + -3x Reorder the terms: -8 + 7x + -8x = 4(x + 3) + -3x Combine like terms: 7x + -8x = -1x -8 + -1x = 4(x + 3) + -3x Reorder the terms: -8 + -1x = 4(3 + x) + -3x -8 + -1x = (3 * 4 + x * 4) + -3x -8 + -1x = (12 + 4x) + -3x Combine like terms: 4x + -3x = 1x -8 + -1x = 12 + 1x Solving -8 + -1x = 12 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -8 + -1x + -1x = 12 + 1x + -1x Combine like terms: -1x + -1x = -2x -8 + -2x = 12 + 1x + -1x Combine like terms: 1x + -1x = 0 -8 + -2x = 12 + 0 -8 + -2x = 12 Add '8' to each side of the equation. -8 + 8 + -2x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = 12 + 8 -2x = 12 + 8 Combine like terms: 12 + 8 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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