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Simplifying 4(x + -7) + -5(x + -7) = 7(x + 19) Reorder the terms: 4(-7 + x) + -5(x + -7) = 7(x + 19) (-7 * 4 + x * 4) + -5(x + -7) = 7(x + 19) (-28 + 4x) + -5(x + -7) = 7(x + 19) Reorder the terms: -28 + 4x + -5(-7 + x) = 7(x + 19) -28 + 4x + (-7 * -5 + x * -5) = 7(x + 19) -28 + 4x + (35 + -5x) = 7(x + 19) Reorder the terms: -28 + 35 + 4x + -5x = 7(x + 19) Combine like terms: -28 + 35 = 7 7 + 4x + -5x = 7(x + 19) Combine like terms: 4x + -5x = -1x 7 + -1x = 7(x + 19) Reorder the terms: 7 + -1x = 7(19 + x) 7 + -1x = (19 * 7 + x * 7) 7 + -1x = (133 + 7x) Solving 7 + -1x = 133 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 7 + -1x + -7x = 133 + 7x + -7x Combine like terms: -1x + -7x = -8x 7 + -8x = 133 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + -8x = 133 + 0 7 + -8x = 133 Add '-7' to each side of the equation. 7 + -7 + -8x = 133 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = 133 + -7 -8x = 133 + -7 Combine like terms: 133 + -7 = 126 -8x = 126 Divide each side by '-8'. x = -15.75 Simplifying x = -15.75
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