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Simplifying 4(x + -3) + -5(10 + -3x) = -100 Reorder the terms: 4(-3 + x) + -5(10 + -3x) = -100 (-3 * 4 + x * 4) + -5(10 + -3x) = -100 (-12 + 4x) + -5(10 + -3x) = -100 -12 + 4x + (10 * -5 + -3x * -5) = -100 -12 + 4x + (-50 + 15x) = -100 Reorder the terms: -12 + -50 + 4x + 15x = -100 Combine like terms: -12 + -50 = -62 -62 + 4x + 15x = -100 Combine like terms: 4x + 15x = 19x -62 + 19x = -100 Solving -62 + 19x = -100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '62' to each side of the equation. -62 + 62 + 19x = -100 + 62 Combine like terms: -62 + 62 = 0 0 + 19x = -100 + 62 19x = -100 + 62 Combine like terms: -100 + 62 = -38 19x = -38 Divide each side by '19'. x = -2 Simplifying x = -2
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