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Simplifying 7(2x + -9) + -3 = 7(x + -6) + (4) Reorder the terms: 7(-9 + 2x) + -3 = 7(x + -6) + (4) (-9 * 7 + 2x * 7) + -3 = 7(x + -6) + (4) (-63 + 14x) + -3 = 7(x + -6) + (4) Reorder the terms: -63 + -3 + 14x = 7(x + -6) + (4) Combine like terms: -63 + -3 = -66 -66 + 14x = 7(x + -6) + (4) Reorder the terms: -66 + 14x = 7(-6 + x) + (4) -66 + 14x = (-6 * 7 + x * 7) + (4) -66 + 14x = (-42 + 7x) + (4) -66 + 14x = -42 + 7x + 4 Reorder the terms: -66 + 14x = -42 + 4 + 7x Combine like terms: -42 + 4 = -38 -66 + 14x = -38 + 7x Solving -66 + 14x = -38 + 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. -66 + 14x + -7x = -38 + 7x + -7x Combine like terms: 14x + -7x = 7x -66 + 7x = -38 + 7x + -7x Combine like terms: 7x + -7x = 0 -66 + 7x = -38 + 0 -66 + 7x = -38 Add '66' to each side of the equation. -66 + 66 + 7x = -38 + 66 Combine like terms: -66 + 66 = 0 0 + 7x = -38 + 66 7x = -38 + 66 Combine like terms: -38 + 66 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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