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Simplifying 5x + -3(x + -4) = -3 + 4x + 7 Reorder the terms: 5x + -3(-4 + x) = -3 + 4x + 7 5x + (-4 * -3 + x * -3) = -3 + 4x + 7 5x + (12 + -3x) = -3 + 4x + 7 Reorder the terms: 12 + 5x + -3x = -3 + 4x + 7 Combine like terms: 5x + -3x = 2x 12 + 2x = -3 + 4x + 7 Reorder the terms: 12 + 2x = -3 + 7 + 4x Combine like terms: -3 + 7 = 4 12 + 2x = 4 + 4x Solving 12 + 2x = 4 + 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. 12 + 2x + -4x = 4 + 4x + -4x Combine like terms: 2x + -4x = -2x 12 + -2x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -2x = 4 + 0 12 + -2x = 4 Add '-12' to each side of the equation. 12 + -12 + -2x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 4 + -12 -2x = 4 + -12 Combine like terms: 4 + -12 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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