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Simplifying 3(x + -4) + 5 = 7x + 3(x + -2) Reorder the terms: 3(-4 + x) + 5 = 7x + 3(x + -2) (-4 * 3 + x * 3) + 5 = 7x + 3(x + -2) (-12 + 3x) + 5 = 7x + 3(x + -2) Reorder the terms: -12 + 5 + 3x = 7x + 3(x + -2) Combine like terms: -12 + 5 = -7 -7 + 3x = 7x + 3(x + -2) Reorder the terms: -7 + 3x = 7x + 3(-2 + x) -7 + 3x = 7x + (-2 * 3 + x * 3) -7 + 3x = 7x + (-6 + 3x) Reorder the terms: -7 + 3x = -6 + 7x + 3x Combine like terms: 7x + 3x = 10x -7 + 3x = -6 + 10x Solving -7 + 3x = -6 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -7 + 3x + -10x = -6 + 10x + -10x Combine like terms: 3x + -10x = -7x -7 + -7x = -6 + 10x + -10x Combine like terms: 10x + -10x = 0 -7 + -7x = -6 + 0 -7 + -7x = -6 Add '7' to each side of the equation. -7 + 7 + -7x = -6 + 7 Combine like terms: -7 + 7 = 0 0 + -7x = -6 + 7 -7x = -6 + 7 Combine like terms: -6 + 7 = 1 -7x = 1 Divide each side by '-7'. x = -0.1428571429 Simplifying x = -0.1428571429
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