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Simplifying 10(2x + -3) + -2(3x + 4) = 4(x + -1) + 16 Reorder the terms: 10(-3 + 2x) + -2(3x + 4) = 4(x + -1) + 16 (-3 * 10 + 2x * 10) + -2(3x + 4) = 4(x + -1) + 16 (-30 + 20x) + -2(3x + 4) = 4(x + -1) + 16 Reorder the terms: -30 + 20x + -2(4 + 3x) = 4(x + -1) + 16 -30 + 20x + (4 * -2 + 3x * -2) = 4(x + -1) + 16 -30 + 20x + (-8 + -6x) = 4(x + -1) + 16 Reorder the terms: -30 + -8 + 20x + -6x = 4(x + -1) + 16 Combine like terms: -30 + -8 = -38 -38 + 20x + -6x = 4(x + -1) + 16 Combine like terms: 20x + -6x = 14x -38 + 14x = 4(x + -1) + 16 Reorder the terms: -38 + 14x = 4(-1 + x) + 16 -38 + 14x = (-1 * 4 + x * 4) + 16 -38 + 14x = (-4 + 4x) + 16 Reorder the terms: -38 + 14x = -4 + 16 + 4x Combine like terms: -4 + 16 = 12 -38 + 14x = 12 + 4x Solving -38 + 14x = 12 + 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. -38 + 14x + -4x = 12 + 4x + -4x Combine like terms: 14x + -4x = 10x -38 + 10x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -38 + 10x = 12 + 0 -38 + 10x = 12 Add '38' to each side of the equation. -38 + 38 + 10x = 12 + 38 Combine like terms: -38 + 38 = 0 0 + 10x = 12 + 38 10x = 12 + 38 Combine like terms: 12 + 38 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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