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Simplifying 4(x + 1) + 3(x + -4) = x + 40 Reorder the terms: 4(1 + x) + 3(x + -4) = x + 40 (1 * 4 + x * 4) + 3(x + -4) = x + 40 (4 + 4x) + 3(x + -4) = x + 40 Reorder the terms: 4 + 4x + 3(-4 + x) = x + 40 4 + 4x + (-4 * 3 + x * 3) = x + 40 4 + 4x + (-12 + 3x) = x + 40 Reorder the terms: 4 + -12 + 4x + 3x = x + 40 Combine like terms: 4 + -12 = -8 -8 + 4x + 3x = x + 40 Combine like terms: 4x + 3x = 7x -8 + 7x = x + 40 Reorder the terms: -8 + 7x = 40 + x Solving -8 + 7x = 40 + x 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 + 7x + -1x = 40 + x + -1x Combine like terms: 7x + -1x = 6x -8 + 6x = 40 + x + -1x Combine like terms: x + -1x = 0 -8 + 6x = 40 + 0 -8 + 6x = 40 Add '8' to each side of the equation. -8 + 8 + 6x = 40 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 40 + 8 6x = 40 + 8 Combine like terms: 40 + 8 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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