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Simplifying 2x + 7 + -3(x + -4) = 5x + 11 + -2x + 4(-2) Reorder the terms: 2x + 7 + -3(-4 + x) = 5x + 11 + -2x + 4(-2) 2x + 7 + (-4 * -3 + x * -3) = 5x + 11 + -2x + 4(-2) 2x + 7 + (12 + -3x) = 5x + 11 + -2x + 4(-2) Reorder the terms: 7 + 12 + 2x + -3x = 5x + 11 + -2x + 4(-2) Combine like terms: 7 + 12 = 19 19 + 2x + -3x = 5x + 11 + -2x + 4(-2) Combine like terms: 2x + -3x = -1x 19 + -1x = 5x + 11 + -2x + 4(-2) Multiply 4 * -2 19 + -1x = 5x + 11 + -2x + -8 Reorder the terms: 19 + -1x = 11 + -8 + 5x + -2x Combine like terms: 11 + -8 = 3 19 + -1x = 3 + 5x + -2x Combine like terms: 5x + -2x = 3x 19 + -1x = 3 + 3x Solving 19 + -1x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 19 + -1x + -3x = 3 + 3x + -3x Combine like terms: -1x + -3x = -4x 19 + -4x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 19 + -4x = 3 + 0 19 + -4x = 3 Add '-19' to each side of the equation. 19 + -19 + -4x = 3 + -19 Combine like terms: 19 + -19 = 0 0 + -4x = 3 + -19 -4x = 3 + -19 Combine like terms: 3 + -19 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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